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Finding the Third Proportional to 532,808 and 1,143,952

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Solution

The third proportional to 532,808 and 1,143,952 is: 2,456,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,808 : 1,143,952 = 1,143,952 : x
  2. Step 2: Convert to fraction form
    532,808/1,143,952 = 1,143,952/x
  3. Step 3: Cross multiply
    532,808x = 1,143,952 × 1,143,952
  4. Step 4: Simplify right side
    532,808x = 1,308,626,178,304
  5. Step 5: Solve for x
    x = 1,308,626,178,304/532,808
  6. Step 6: Final answer
    x = 2,456,093.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.