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Finding the Third Proportional to 532,422 and 1,153,368

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Solution

The third proportional to 532,422 and 1,153,368 is: 2,498,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,422 : 1,153,368 = 1,153,368 : x
  2. Step 2: Convert to fraction form
    532,422/1,153,368 = 1,153,368/x
  3. Step 3: Cross multiply
    532,422x = 1,153,368 × 1,153,368
  4. Step 4: Simplify right side
    532,422x = 1,330,257,743,424
  5. Step 5: Solve for x
    x = 1,330,257,743,424/532,422
  6. Step 6: Final answer
    x = 2,498,502.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.