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Finding the Third Proportional to 1,866,032 and 2,970,656

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Solution

The third proportional to 1,866,032 and 2,970,656 is: 4,729,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,032 : 2,970,656 = 2,970,656 : x
  2. Step 2: Convert to fraction form
    1,866,032/2,970,656 = 2,970,656/x
  3. Step 3: Cross multiply
    1,866,032x = 2,970,656 × 2,970,656
  4. Step 4: Simplify right side
    1,866,032x = 8,824,797,070,336
  5. Step 5: Solve for x
    x = 8,824,797,070,336/1,866,032
  6. Step 6: Final answer
    x = 4,729,177.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.