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Finding the Third Proportional to 610,543 and 897,520

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Solution

The third proportional to 610,543 and 897,520 is: 1,319,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,543 : 897,520 = 897,520 : x
  2. Step 2: Convert to fraction form
    610,543/897,520 = 897,520/x
  3. Step 3: Cross multiply
    610,543x = 897,520 × 897,520
  4. Step 4: Simplify right side
    610,543x = 805,542,150,400
  5. Step 5: Solve for x
    x = 805,542,150,400/610,543
  6. Step 6: Final answer
    x = 1,319,386.43

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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.