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Finding the Third Proportional to 768,376 and 1,127,653

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Solution

The third proportional to 768,376 and 1,127,653 is: 1,654,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,376 : 1,127,653 = 1,127,653 : x
  2. Step 2: Convert to fraction form
    768,376/1,127,653 = 1,127,653/x
  3. Step 3: Cross multiply
    768,376x = 1,127,653 × 1,127,653
  4. Step 4: Simplify right side
    768,376x = 1,271,601,288,409
  5. Step 5: Solve for x
    x = 1,271,601,288,409/768,376
  6. Step 6: Final answer
    x = 1,654,920.62

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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.