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Finding the Third Proportional to 1,572,780.38 and 3,439,938.38

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Solution

The third proportional to 1,572,780.38 and 3,439,938.38 is: 7,523,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,780.38 : 3,439,938.38 = 3,439,938.38 : x
  2. Step 2: Convert to fraction form
    1,572,780.38/3,439,938.38 = 3,439,938.38/x
  3. Step 3: Cross multiply
    1,572,780.38x = 3,439,938.38 × 3,439,938.38
  4. Step 4: Simplify right side
    1,572,780.38x = 11,833,176,023,797.64
  5. Step 5: Solve for x
    x = 11,833,176,023,797.64/1,572,780.38
  6. Step 6: Final answer
    x = 7,523,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.