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Finding the Third Proportional to 713,904 and 1,105,414

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Solution

The third proportional to 713,904 and 1,105,414 is: 1,711,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,904 : 1,105,414 = 1,105,414 : x
  2. Step 2: Convert to fraction form
    713,904/1,105,414 = 1,105,414/x
  3. Step 3: Cross multiply
    713,904x = 1,105,414 × 1,105,414
  4. Step 4: Simplify right side
    713,904x = 1,221,940,111,396
  5. Step 5: Solve for x
    x = 1,221,940,111,396/713,904
  6. Step 6: Final answer
    x = 1,711,630.85

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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.