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Finding the Third Proportional to 532,418 and 1,163,088

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Solution

The third proportional to 532,418 and 1,163,088 is: 2,540,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,418 : 1,163,088 = 1,163,088 : x
  2. Step 2: Convert to fraction form
    532,418/1,163,088 = 1,163,088/x
  3. Step 3: Cross multiply
    532,418x = 1,163,088 × 1,163,088
  4. Step 4: Simplify right side
    532,418x = 1,352,773,695,744
  5. Step 5: Solve for x
    x = 1,352,773,695,744/532,418
  6. Step 6: Final answer
    x = 2,540,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.