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Finding the Third Proportional to 747,972 and 1,540,053

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Solution

The third proportional to 747,972 and 1,540,053 is: 3,170,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,972 : 1,540,053 = 1,540,053 : x
  2. Step 2: Convert to fraction form
    747,972/1,540,053 = 1,540,053/x
  3. Step 3: Cross multiply
    747,972x = 1,540,053 × 1,540,053
  4. Step 4: Simplify right side
    747,972x = 2,371,763,242,809
  5. Step 5: Solve for x
    x = 2,371,763,242,809/747,972
  6. Step 6: Final answer
    x = 3,170,925.17

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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.