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Finding the Third Proportional to 532,039 and 1,167,550

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Solution

The third proportional to 532,039 and 1,167,550 is: 2,562,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,039 : 1,167,550 = 1,167,550 : x
  2. Step 2: Convert to fraction form
    532,039/1,167,550 = 1,167,550/x
  3. Step 3: Cross multiply
    532,039x = 1,167,550 × 1,167,550
  4. Step 4: Simplify right side
    532,039x = 1,363,173,002,500
  5. Step 5: Solve for x
    x = 1,363,173,002,500/532,039
  6. Step 6: Final answer
    x = 2,562,167.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.