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Finding the Third Proportional to 652,954 and 924,755

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Solution

The third proportional to 652,954 and 924,755 is: 1,309,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,954 : 924,755 = 924,755 : x
  2. Step 2: Convert to fraction form
    652,954/924,755 = 924,755/x
  3. Step 3: Cross multiply
    652,954x = 924,755 × 924,755
  4. Step 4: Simplify right side
    652,954x = 855,171,810,025
  5. Step 5: Solve for x
    x = 855,171,810,025/652,954
  6. Step 6: Final answer
    x = 1,309,696.87

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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.