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Finding the Third Proportional to 477,209.25 and 1,022,729

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Solution

The third proportional to 477,209.25 and 1,022,729 is: 2,191,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,209.25 : 1,022,729 = 1,022,729 : x
  2. Step 2: Convert to fraction form
    477,209.25/1,022,729 = 1,022,729/x
  3. Step 3: Cross multiply
    477,209.25x = 1,022,729 × 1,022,729
  4. Step 4: Simplify right side
    477,209.25x = 1,045,974,607,441
  5. Step 5: Solve for x
    x = 1,045,974,607,441/477,209.25
  6. Step 6: Final answer
    x = 2,191,857.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.