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Finding the Third Proportional to 652,953 and 924,753

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Solution

The third proportional to 652,953 and 924,753 is: 1,309,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,953 : 924,753 = 924,753 : x
  2. Step 2: Convert to fraction form
    652,953/924,753 = 924,753/x
  3. Step 3: Cross multiply
    652,953x = 924,753 × 924,753
  4. Step 4: Simplify right side
    652,953x = 855,168,111,009
  5. Step 5: Solve for x
    x = 855,168,111,009/652,953
  6. Step 6: Final answer
    x = 1,309,693.21

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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.