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Finding the Third Proportional to 648,872 and 867,952

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Solution

The third proportional to 648,872 and 867,952 is: 1,161,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,872 : 867,952 = 867,952 : x
  2. Step 2: Convert to fraction form
    648,872/867,952 = 867,952/x
  3. Step 3: Cross multiply
    648,872x = 867,952 × 867,952
  4. Step 4: Simplify right side
    648,872x = 753,340,674,304
  5. Step 5: Solve for x
    x = 753,340,674,304/648,872
  6. Step 6: Final answer
    x = 1,161,000.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.