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Finding the Third Proportional to 2,034,295 and 4,351,716

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Solution

The third proportional to 2,034,295 and 4,351,716 is: 9,309,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,295 : 4,351,716 = 4,351,716 : x
  2. Step 2: Convert to fraction form
    2,034,295/4,351,716 = 4,351,716/x
  3. Step 3: Cross multiply
    2,034,295x = 4,351,716 × 4,351,716
  4. Step 4: Simplify right side
    2,034,295x = 18,937,432,144,656
  5. Step 5: Solve for x
    x = 18,937,432,144,656/2,034,295
  6. Step 6: Final answer
    x = 9,309,088.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.