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Finding the Third Proportional to 648,810 and 867,874.50

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Solution

The third proportional to 648,810 and 867,874.50 is: 1,160,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,810 : 867,874.50 = 867,874.50 : x
  2. Step 2: Convert to fraction form
    648,810/867,874.50 = 867,874.50/x
  3. Step 3: Cross multiply
    648,810x = 867,874.50 × 867,874.50
  4. Step 4: Simplify right side
    648,810x = 753,206,147,750.25
  5. Step 5: Solve for x
    x = 753,206,147,750.25/648,810
  6. Step 6: Final answer
    x = 1,160,904.04

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