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Finding the Third Proportional to 532,830 and 1,141,656

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Solution

The third proportional to 532,830 and 1,141,656 is: 2,446,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,830 : 1,141,656 = 1,141,656 : x
  2. Step 2: Convert to fraction form
    532,830/1,141,656 = 1,141,656/x
  3. Step 3: Cross multiply
    532,830x = 1,141,656 × 1,141,656
  4. Step 4: Simplify right side
    532,830x = 1,303,378,422,336
  5. Step 5: Solve for x
    x = 1,303,378,422,336/532,830
  6. Step 6: Final answer
    x = 2,446,143.09

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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.