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Finding the Third Proportional to 2,261,748 and 4,916,400

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Solution

The third proportional to 2,261,748 and 4,916,400 is: 10,686,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,748 : 4,916,400 = 4,916,400 : x
  2. Step 2: Convert to fraction form
    2,261,748/4,916,400 = 4,916,400/x
  3. Step 3: Cross multiply
    2,261,748x = 4,916,400 × 4,916,400
  4. Step 4: Simplify right side
    2,261,748x = 24,170,988,960,000
  5. Step 5: Solve for x
    x = 24,170,988,960,000/2,261,748
  6. Step 6: Final answer
    x = 10,686,862.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.