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Finding the Third Proportional to 804,550 and 1,762,737

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Solution

The third proportional to 804,550 and 1,762,737 is: 3,862,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,550 : 1,762,737 = 1,762,737 : x
  2. Step 2: Convert to fraction form
    804,550/1,762,737 = 1,762,737/x
  3. Step 3: Cross multiply
    804,550x = 1,762,737 × 1,762,737
  4. Step 4: Simplify right side
    804,550x = 3,107,241,731,169
  5. Step 5: Solve for x
    x = 3,107,241,731,169/804,550
  6. Step 6: Final answer
    x = 3,862,086.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.