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Finding the Third Proportional to 1,447,182 and 2,127,415

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Solution

The third proportional to 1,447,182 and 2,127,415 is: 3,127,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,182 : 2,127,415 = 2,127,415 : x
  2. Step 2: Convert to fraction form
    1,447,182/2,127,415 = 2,127,415/x
  3. Step 3: Cross multiply
    1,447,182x = 2,127,415 × 2,127,415
  4. Step 4: Simplify right side
    1,447,182x = 4,525,894,582,225
  5. Step 5: Solve for x
    x = 4,525,894,582,225/1,447,182
  6. Step 6: Final answer
    x = 3,127,384.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.