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Finding the Third Proportional to 614,080 and 1,332,530

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Solution

The third proportional to 614,080 and 1,332,530 is: 2,891,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,080 : 1,332,530 = 1,332,530 : x
  2. Step 2: Convert to fraction form
    614,080/1,332,530 = 1,332,530/x
  3. Step 3: Cross multiply
    614,080x = 1,332,530 × 1,332,530
  4. Step 4: Simplify right side
    614,080x = 1,775,636,200,900
  5. Step 5: Solve for x
    x = 1,775,636,200,900/614,080
  6. Step 6: Final answer
    x = 2,891,538.89

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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.