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Finding the Third Proportional to 610,527 and 897,499

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Solution

The third proportional to 610,527 and 897,499 is: 1,319,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,527 : 897,499 = 897,499 : x
  2. Step 2: Convert to fraction form
    610,527/897,499 = 897,499/x
  3. Step 3: Cross multiply
    610,527x = 897,499 × 897,499
  4. Step 4: Simplify right side
    610,527x = 805,504,455,001
  5. Step 5: Solve for x
    x = 805,504,455,001/610,527
  6. Step 6: Final answer
    x = 1,319,359.27

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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.