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Finding the Third Proportional to 1,447,302 and 2,127,561

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Solution

The third proportional to 1,447,302 and 2,127,561 is: 3,127,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,302 : 2,127,561 = 2,127,561 : x
  2. Step 2: Convert to fraction form
    1,447,302/2,127,561 = 2,127,561/x
  3. Step 3: Cross multiply
    1,447,302x = 2,127,561 × 2,127,561
  4. Step 4: Simplify right side
    1,447,302x = 4,526,515,808,721
  5. Step 5: Solve for x
    x = 4,526,515,808,721/1,447,302
  6. Step 6: Final answer
    x = 3,127,554.45

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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.