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Finding the Third Proportional to 532,816 and 1,141,441

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Solution

The third proportional to 532,816 and 1,141,441 is: 2,445,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,816 : 1,141,441 = 1,141,441 : x
  2. Step 2: Convert to fraction form
    532,816/1,141,441 = 1,141,441/x
  3. Step 3: Cross multiply
    532,816x = 1,141,441 × 1,141,441
  4. Step 4: Simplify right side
    532,816x = 1,302,887,556,481
  5. Step 5: Solve for x
    x = 1,302,887,556,481/532,816
  6. Step 6: Final answer
    x = 2,445,286.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.