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Finding the Third Proportional to 3,426,624 and 5,140,590.75

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Solution

The third proportional to 3,426,624 and 5,140,590.75 is: 7,711,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426,624 : 5,140,590.75 = 5,140,590.75 : x
  2. Step 2: Convert to fraction form
    3,426,624/5,140,590.75 = 5,140,590.75/x
  3. Step 3: Cross multiply
    3,426,624x = 5,140,590.75 × 5,140,590.75
  4. Step 4: Simplify right side
    3,426,624x = 26,425,673,258,985.56
  5. Step 5: Solve for x
    x = 26,425,673,258,985.56/3,426,624
  6. Step 6: Final answer
    x = 7,711,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.