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Finding the Third Proportional to 803,365,588.69 and 1,240,864,373.25

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Solution

The third proportional to 803,365,588.69 and 1,240,864,373.25 is: 1,916,617,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,365,588.69 : 1,240,864,373.25 = 1,240,864,373.25 : x
  2. Step 2: Convert to fraction form
    803,365,588.69/1,240,864,373.25 = 1,240,864,373.25/x
  3. Step 3: Cross multiply
    803,365,588.69x = 1,240,864,373.25 × 1,240,864,373.25
  4. Step 4: Simplify right side
    803,365,588.69x = 1,539,744,392,801,115,392
  5. Step 5: Solve for x
    x = 1,539,744,392,801,115,392/803,365,588.69
  6. Step 6: Final answer
    x = 1,916,617,309.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.