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Finding the Third Proportional to 768,375 and 1,127,651

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Solution

The third proportional to 768,375 and 1,127,651 is: 1,654,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,375 : 1,127,651 = 1,127,651 : x
  2. Step 2: Convert to fraction form
    768,375/1,127,651 = 1,127,651/x
  3. Step 3: Cross multiply
    768,375x = 1,127,651 × 1,127,651
  4. Step 4: Simplify right side
    768,375x = 1,271,596,777,801
  5. Step 5: Solve for x
    x = 1,271,596,777,801/768,375
  6. Step 6: Final answer
    x = 1,654,916.91

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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.