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Finding the Third Proportional to 610,526 and 897,496

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Solution

The third proportional to 610,526 and 897,496 is: 1,319,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,526 : 897,496 = 897,496 : x
  2. Step 2: Convert to fraction form
    610,526/897,496 = 897,496/x
  3. Step 3: Cross multiply
    610,526x = 897,496 × 897,496
  4. Step 4: Simplify right side
    610,526x = 805,499,070,016
  5. Step 5: Solve for x
    x = 805,499,070,016/610,526
  6. Step 6: Final answer
    x = 1,319,352.61

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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.