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Finding the Third Proportional to 580,981 and 897,355

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Solution

The third proportional to 580,981 and 897,355 is: 1,386,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,981 : 897,355 = 897,355 : x
  2. Step 2: Convert to fraction form
    580,981/897,355 = 897,355/x
  3. Step 3: Cross multiply
    580,981x = 897,355 × 897,355
  4. Step 4: Simplify right side
    580,981x = 805,245,996,025
  5. Step 5: Solve for x
    x = 805,245,996,025/580,981
  6. Step 6: Final answer
    x = 1,386,010.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.