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Finding the Third Proportional to 2,432,205 and 5,331,402

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Solution

The third proportional to 2,432,205 and 5,331,402 is: 11,686,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,205 : 5,331,402 = 5,331,402 : x
  2. Step 2: Convert to fraction form
    2,432,205/5,331,402 = 5,331,402/x
  3. Step 3: Cross multiply
    2,432,205x = 5,331,402 × 5,331,402
  4. Step 4: Simplify right side
    2,432,205x = 28,423,847,285,604
  5. Step 5: Solve for x
    x = 28,423,847,285,604/2,432,205
  6. Step 6: Final answer
    x = 11,686,452.12

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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.