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Finding the Third Proportional to 747,076 and 1,117,974

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Solution

The third proportional to 747,076 and 1,117,974 is: 1,673,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,076 : 1,117,974 = 1,117,974 : x
  2. Step 2: Convert to fraction form
    747,076/1,117,974 = 1,117,974/x
  3. Step 3: Cross multiply
    747,076x = 1,117,974 × 1,117,974
  4. Step 4: Simplify right side
    747,076x = 1,249,865,864,676
  5. Step 5: Solve for x
    x = 1,249,865,864,676/747,076
  6. Step 6: Final answer
    x = 1,673,010.33

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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.