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Finding the Third Proportional to 2,853,122 and 4,432,035

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Solution

The third proportional to 2,853,122 and 4,432,035 is: 6,884,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,122 : 4,432,035 = 4,432,035 : x
  2. Step 2: Convert to fraction form
    2,853,122/4,432,035 = 4,432,035/x
  3. Step 3: Cross multiply
    2,853,122x = 4,432,035 × 4,432,035
  4. Step 4: Simplify right side
    2,853,122x = 19,642,934,241,225
  5. Step 5: Solve for x
    x = 19,642,934,241,225/2,853,122
  6. Step 6: Final answer
    x = 6,884,715.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.