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Finding the Third Proportional to 747,981 and 1,540,071

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Solution

The third proportional to 747,981 and 1,540,071 is: 3,170,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,981 : 1,540,071 = 1,540,071 : x
  2. Step 2: Convert to fraction form
    747,981/1,540,071 = 1,540,071/x
  3. Step 3: Cross multiply
    747,981x = 1,540,071 × 1,540,071
  4. Step 4: Simplify right side
    747,981x = 2,371,818,685,041
  5. Step 5: Solve for x
    x = 2,371,818,685,041/747,981
  6. Step 6: Final answer
    x = 3,170,961.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.