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Finding the Third Proportional to 472,294.13 and 1,019,209.50

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Solution

The third proportional to 472,294.13 and 1,019,209.50 is: 2,199,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,294.13 : 1,019,209.50 = 1,019,209.50 : x
  2. Step 2: Convert to fraction form
    472,294.13/1,019,209.50 = 1,019,209.50/x
  3. Step 3: Cross multiply
    472,294.13x = 1,019,209.50 × 1,019,209.50
  4. Step 4: Simplify right side
    472,294.13x = 1,038,788,004,890.25
  5. Step 5: Solve for x
    x = 1,038,788,004,890.25/472,294.13
  6. Step 6: Final answer
    x = 2,199,451.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.