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Finding the Third Proportional to 747,520 and 1,754,912

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Solution

The third proportional to 747,520 and 1,754,912 is: 4,119,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,520 : 1,754,912 = 1,754,912 : x
  2. Step 2: Convert to fraction form
    747,520/1,754,912 = 1,754,912/x
  3. Step 3: Cross multiply
    747,520x = 1,754,912 × 1,754,912
  4. Step 4: Simplify right side
    747,520x = 3,079,716,127,744
  5. Step 5: Solve for x
    x = 3,079,716,127,744/747,520
  6. Step 6: Final answer
    x = 4,119,911.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.