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Finding the Third Proportional to 465,768 and 1,002,894

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Solution

The third proportional to 465,768 and 1,002,894 is: 2,159,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,768 : 1,002,894 = 1,002,894 : x
  2. Step 2: Convert to fraction form
    465,768/1,002,894 = 1,002,894/x
  3. Step 3: Cross multiply
    465,768x = 1,002,894 × 1,002,894
  4. Step 4: Simplify right side
    465,768x = 1,005,796,375,236
  5. Step 5: Solve for x
    x = 1,005,796,375,236/465,768
  6. Step 6: Final answer
    x = 2,159,436.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.