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Finding the Third Proportional to 486,186 and 735,987

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Solution

The third proportional to 486,186 and 735,987 is: 1,114,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,186 : 735,987 = 735,987 : x
  2. Step 2: Convert to fraction form
    486,186/735,987 = 735,987/x
  3. Step 3: Cross multiply
    486,186x = 735,987 × 735,987
  4. Step 4: Simplify right side
    486,186x = 541,676,864,169
  5. Step 5: Solve for x
    x = 541,676,864,169/486,186
  6. Step 6: Final answer
    x = 1,114,135.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.