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Finding the Third Proportional to 734,122 and 1,625,466

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Solution

The third proportional to 734,122 and 1,625,466 is: 3,599,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,122 : 1,625,466 = 1,625,466 : x
  2. Step 2: Convert to fraction form
    734,122/1,625,466 = 1,625,466/x
  3. Step 3: Cross multiply
    734,122x = 1,625,466 × 1,625,466
  4. Step 4: Simplify right side
    734,122x = 2,642,139,717,156
  5. Step 5: Solve for x
    x = 2,642,139,717,156/734,122
  6. Step 6: Final answer
    x = 3,599,047.18

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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.