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Finding the Third Proportional to 532,394.02 and 1,154,616.40

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Solution

The third proportional to 532,394.02 and 1,154,616.40 is: 2,504,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,394.02 : 1,154,616.40 = 1,154,616.40 : x
  2. Step 2: Convert to fraction form
    532,394.02/1,154,616.40 = 1,154,616.40/x
  3. Step 3: Cross multiply
    532,394.02x = 1,154,616.40 × 1,154,616.40
  4. Step 4: Simplify right side
    532,394.02x = 1,333,139,027,540.78
  5. Step 5: Solve for x
    x = 1,333,139,027,540.78/532,394.02
  6. Step 6: Final answer
    x = 2,504,045.85

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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.