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Finding the Third Proportional to 3,569,756.38 and 5,438,312.95

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Solution

The third proportional to 3,569,756.38 and 5,438,312.95 is: 8,284,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,756.38 : 5,438,312.95 = 5,438,312.95 : x
  2. Step 2: Convert to fraction form
    3,569,756.38/5,438,312.95 = 5,438,312.95/x
  3. Step 3: Cross multiply
    3,569,756.38x = 5,438,312.95 × 5,438,312.95
  4. Step 4: Simplify right side
    3,569,756.38x = 29,575,247,712,397.75
  5. Step 5: Solve for x
    x = 29,575,247,712,397.75/3,569,756.38
  6. Step 6: Final answer
    x = 8,284,948.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.