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Finding the Third Proportional to 648,894 and 867,996

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Solution

The third proportional to 648,894 and 867,996 is: 1,161,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,894 : 867,996 = 867,996 : x
  2. Step 2: Convert to fraction form
    648,894/867,996 = 867,996/x
  3. Step 3: Cross multiply
    648,894x = 867,996 × 867,996
  4. Step 4: Simplify right side
    648,894x = 753,417,056,016
  5. Step 5: Solve for x
    x = 753,417,056,016/648,894
  6. Step 6: Final answer
    x = 1,161,078.78

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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.