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Finding the Third Proportional to 986,414 and 2,155,468

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Solution

The third proportional to 986,414 and 2,155,468 is: 4,710,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,414 : 2,155,468 = 2,155,468 : x
  2. Step 2: Convert to fraction form
    986,414/2,155,468 = 2,155,468/x
  3. Step 3: Cross multiply
    986,414x = 2,155,468 × 2,155,468
  4. Step 4: Simplify right side
    986,414x = 4,646,042,299,024
  5. Step 5: Solve for x
    x = 4,646,042,299,024/986,414
  6. Step 6: Final answer
    x = 4,710,032.80

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