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Finding the Third Proportional to 536,478 and 1,160,073

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Solution

The third proportional to 536,478 and 1,160,073 is: 2,508,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,478 : 1,160,073 = 1,160,073 : x
  2. Step 2: Convert to fraction form
    536,478/1,160,073 = 1,160,073/x
  3. Step 3: Cross multiply
    536,478x = 1,160,073 × 1,160,073
  4. Step 4: Simplify right side
    536,478x = 1,345,769,365,329
  5. Step 5: Solve for x
    x = 1,345,769,365,329/536,478
  6. Step 6: Final answer
    x = 2,508,526.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.