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Finding the Third Proportional to 652,834 and 998,570

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Solution

The third proportional to 652,834 and 998,570 is: 1,527,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,834 : 998,570 = 998,570 : x
  2. Step 2: Convert to fraction form
    652,834/998,570 = 998,570/x
  3. Step 3: Cross multiply
    652,834x = 998,570 × 998,570
  4. Step 4: Simplify right side
    652,834x = 997,142,044,900
  5. Step 5: Solve for x
    x = 997,142,044,900/652,834
  6. Step 6: Final answer
    x = 1,527,405.20

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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.