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Finding the Third Proportional to 466,767 and 1,023,894

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Solution

The third proportional to 466,767 and 1,023,894 is: 2,246,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,767 : 1,023,894 = 1,023,894 : x
  2. Step 2: Convert to fraction form
    466,767/1,023,894 = 1,023,894/x
  3. Step 3: Cross multiply
    466,767x = 1,023,894 × 1,023,894
  4. Step 4: Simplify right side
    466,767x = 1,048,358,923,236
  5. Step 5: Solve for x
    x = 1,048,358,923,236/466,767
  6. Step 6: Final answer
    x = 2,246,000.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.