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Finding the Third Proportional to 610,508 and 897,510

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Solution

The third proportional to 610,508 and 897,510 is: 1,319,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,508 : 897,510 = 897,510 : x
  2. Step 2: Convert to fraction form
    610,508/897,510 = 897,510/x
  3. Step 3: Cross multiply
    610,508x = 897,510 × 897,510
  4. Step 4: Simplify right side
    610,508x = 805,524,200,100
  5. Step 5: Solve for x
    x = 805,524,200,100/610,508
  6. Step 6: Final answer
    x = 1,319,432.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.