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Finding the Third Proportional to 768,367.69 and 1,127,638.13

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Solution

The third proportional to 768,367.69 and 1,127,638.13 is: 1,654,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,367.69 : 1,127,638.13 = 1,127,638.13 : x
  2. Step 2: Convert to fraction form
    768,367.69/1,127,638.13 = 1,127,638.13/x
  3. Step 3: Cross multiply
    768,367.69x = 1,127,638.13 × 1,127,638.13
  4. Step 4: Simplify right side
    768,367.69x = 1,271,567,740,953.52
  5. Step 5: Solve for x
    x = 1,271,567,740,953.52/768,367.69
  6. Step 6: Final answer
    x = 1,654,894.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.