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Finding the Third Proportional to 1,748,263 and 2,638,459

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Solution

The third proportional to 1,748,263 and 2,638,459 is: 3,981,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,263 : 2,638,459 = 2,638,459 : x
  2. Step 2: Convert to fraction form
    1,748,263/2,638,459 = 2,638,459/x
  3. Step 3: Cross multiply
    1,748,263x = 2,638,459 × 2,638,459
  4. Step 4: Simplify right side
    1,748,263x = 6,961,465,894,681
  5. Step 5: Solve for x
    x = 6,961,465,894,681/1,748,263
  6. Step 6: Final answer
    x = 3,981,932.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.