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Finding the Third Proportional to 652,466 and 998,202

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Solution

The third proportional to 652,466 and 998,202 is: 1,527,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,466 : 998,202 = 998,202 : x
  2. Step 2: Convert to fraction form
    652,466/998,202 = 998,202/x
  3. Step 3: Cross multiply
    652,466x = 998,202 × 998,202
  4. Step 4: Simplify right side
    652,466x = 996,407,232,804
  5. Step 5: Solve for x
    x = 996,407,232,804/652,466
  6. Step 6: Final answer
    x = 1,527,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.