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Finding the Third Proportional to 598,922 and 897,459

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Solution

The third proportional to 598,922 and 897,459 is: 1,344,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,922 : 897,459 = 897,459 : x
  2. Step 2: Convert to fraction form
    598,922/897,459 = 897,459/x
  3. Step 3: Cross multiply
    598,922x = 897,459 × 897,459
  4. Step 4: Simplify right side
    598,922x = 805,432,656,681
  5. Step 5: Solve for x
    x = 805,432,656,681/598,922
  6. Step 6: Final answer
    x = 1,344,803.93

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Why These Related Problems?

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