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Finding the Third Proportional to 532,157 and 1,182,415

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Solution

The third proportional to 532,157 and 1,182,415 is: 2,627,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,157 : 1,182,415 = 1,182,415 : x
  2. Step 2: Convert to fraction form
    532,157/1,182,415 = 1,182,415/x
  3. Step 3: Cross multiply
    532,157x = 1,182,415 × 1,182,415
  4. Step 4: Simplify right side
    532,157x = 1,398,105,232,225
  5. Step 5: Solve for x
    x = 1,398,105,232,225/532,157
  6. Step 6: Final answer
    x = 2,627,242.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.