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Finding the Third Proportional to 600,531,129 and 1,293,207,858

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Solution

The third proportional to 600,531,129 and 1,293,207,858 is: 2,784,845,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,531,129 : 1,293,207,858 = 1,293,207,858 : x
  2. Step 2: Convert to fraction form
    600,531,129/1,293,207,858 = 1,293,207,858/x
  3. Step 3: Cross multiply
    600,531,129x = 1,293,207,858 × 1,293,207,858
  4. Step 4: Simplify right side
    600,531,129x = 1,672,386,563,992,948,224
  5. Step 5: Solve for x
    x = 1,672,386,563,992,948,224/600,531,129
  6. Step 6: Final answer
    x = 2,784,845,752.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.