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Finding the Third Proportional to 478,640.25 and 1,009,566

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Solution

The third proportional to 478,640.25 and 1,009,566 is: 2,129,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,640.25 : 1,009,566 = 1,009,566 : x
  2. Step 2: Convert to fraction form
    478,640.25/1,009,566 = 1,009,566/x
  3. Step 3: Cross multiply
    478,640.25x = 1,009,566 × 1,009,566
  4. Step 4: Simplify right side
    478,640.25x = 1,019,223,508,356
  5. Step 5: Solve for x
    x = 1,019,223,508,356/478,640.25
  6. Step 6: Final answer
    x = 2,129,414.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.