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Finding the Third Proportional to 2,665,748 and 5,862,748

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Solution

The third proportional to 2,665,748 and 5,862,748 is: 12,893,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,748 : 5,862,748 = 5,862,748 : x
  2. Step 2: Convert to fraction form
    2,665,748/5,862,748 = 5,862,748/x
  3. Step 3: Cross multiply
    2,665,748x = 5,862,748 × 5,862,748
  4. Step 4: Simplify right side
    2,665,748x = 34,371,814,111,504
  5. Step 5: Solve for x
    x = 34,371,814,111,504/2,665,748
  6. Step 6: Final answer
    x = 12,893,872.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.