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Finding the Third Proportional to 978,654 and 1,512,513

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Solution

The third proportional to 978,654 and 1,512,513 is: 2,337,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,654 : 1,512,513 = 1,512,513 : x
  2. Step 2: Convert to fraction form
    978,654/1,512,513 = 1,512,513/x
  3. Step 3: Cross multiply
    978,654x = 1,512,513 × 1,512,513
  4. Step 4: Simplify right side
    978,654x = 2,287,695,575,169
  5. Step 5: Solve for x
    x = 2,287,695,575,169/978,654
  6. Step 6: Final answer
    x = 2,337,593.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.