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Finding the Third Proportional to 747,074 and 1,117,971

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Solution

The third proportional to 747,074 and 1,117,971 is: 1,673,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,074 : 1,117,971 = 1,117,971 : x
  2. Step 2: Convert to fraction form
    747,074/1,117,971 = 1,117,971/x
  3. Step 3: Cross multiply
    747,074x = 1,117,971 × 1,117,971
  4. Step 4: Simplify right side
    747,074x = 1,249,859,156,841
  5. Step 5: Solve for x
    x = 1,249,859,156,841/747,074
  6. Step 6: Final answer
    x = 1,673,005.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.