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Finding the Third Proportional to 734,169 and 1,625,559

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Solution

The third proportional to 734,169 and 1,625,559 is: 3,599,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,169 : 1,625,559 = 1,625,559 : x
  2. Step 2: Convert to fraction form
    734,169/1,625,559 = 1,625,559/x
  3. Step 3: Cross multiply
    734,169x = 1,625,559 × 1,625,559
  4. Step 4: Simplify right side
    734,169x = 2,642,442,062,481
  5. Step 5: Solve for x
    x = 2,642,442,062,481/734,169
  6. Step 6: Final answer
    x = 3,599,228.60

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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.