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Finding the Third Proportional to 734,172 and 1,625,565

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Solution

The third proportional to 734,172 and 1,625,565 is: 3,599,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,172 : 1,625,565 = 1,625,565 : x
  2. Step 2: Convert to fraction form
    734,172/1,625,565 = 1,625,565/x
  3. Step 3: Cross multiply
    734,172x = 1,625,565 × 1,625,565
  4. Step 4: Simplify right side
    734,172x = 2,642,461,569,225
  5. Step 5: Solve for x
    x = 2,642,461,569,225/734,172
  6. Step 6: Final answer
    x = 3,599,240.46

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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.