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Finding the Third Proportional to 2,247,347 and 4,914,409

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Solution

The third proportional to 2,247,347 and 4,914,409 is: 10,746,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,347 : 4,914,409 = 4,914,409 : x
  2. Step 2: Convert to fraction form
    2,247,347/4,914,409 = 4,914,409/x
  3. Step 3: Cross multiply
    2,247,347x = 4,914,409 × 4,914,409
  4. Step 4: Simplify right side
    2,247,347x = 24,151,415,819,281
  5. Step 5: Solve for x
    x = 24,151,415,819,281/2,247,347
  6. Step 6: Final answer
    x = 10,746,634.06

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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.