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Finding the Third Proportional to 610,510 and 897,472

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Solution

The third proportional to 610,510 and 897,472 is: 1,319,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,510 : 897,472 = 897,472 : x
  2. Step 2: Convert to fraction form
    610,510/897,472 = 897,472/x
  3. Step 3: Cross multiply
    610,510x = 897,472 × 897,472
  4. Step 4: Simplify right side
    610,510x = 805,455,990,784
  5. Step 5: Solve for x
    x = 805,455,990,784/610,510
  6. Step 6: Final answer
    x = 1,319,316.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.