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Finding the Third Proportional to 734,120 and 1,625,461

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Solution

The third proportional to 734,120 and 1,625,461 is: 3,599,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,120 : 1,625,461 = 1,625,461 : x
  2. Step 2: Convert to fraction form
    734,120/1,625,461 = 1,625,461/x
  3. Step 3: Cross multiply
    734,120x = 1,625,461 × 1,625,461
  4. Step 4: Simplify right side
    734,120x = 2,642,123,462,521
  5. Step 5: Solve for x
    x = 2,642,123,462,521/734,120
  6. Step 6: Final answer
    x = 3,599,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.