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Finding the Third Proportional to 652,952 and 924,754

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Solution

The third proportional to 652,952 and 924,754 is: 1,309,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,952 : 924,754 = 924,754 : x
  2. Step 2: Convert to fraction form
    652,952/924,754 = 924,754/x
  3. Step 3: Cross multiply
    652,952x = 924,754 × 924,754
  4. Step 4: Simplify right side
    652,952x = 855,169,960,516
  5. Step 5: Solve for x
    x = 855,169,960,516/652,952
  6. Step 6: Final answer
    x = 1,309,698.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.