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Finding the Third Proportional to 598,921 and 897,459

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Solution

The third proportional to 598,921 and 897,459 is: 1,344,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,921 : 897,459 = 897,459 : x
  2. Step 2: Convert to fraction form
    598,921/897,459 = 897,459/x
  3. Step 3: Cross multiply
    598,921x = 897,459 × 897,459
  4. Step 4: Simplify right side
    598,921x = 805,432,656,681
  5. Step 5: Solve for x
    x = 805,432,656,681/598,921
  6. Step 6: Final answer
    x = 1,344,806.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.