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Finding the Third Proportional to 771,750 and 1,654,248

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Solution

The third proportional to 771,750 and 1,654,248 is: 3,545,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,750 : 1,654,248 = 1,654,248 : x
  2. Step 2: Convert to fraction form
    771,750/1,654,248 = 1,654,248/x
  3. Step 3: Cross multiply
    771,750x = 1,654,248 × 1,654,248
  4. Step 4: Simplify right side
    771,750x = 2,736,536,445,504
  5. Step 5: Solve for x
    x = 2,736,536,445,504/771,750
  6. Step 6: Final answer
    x = 3,545,884.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.