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Finding the Third Proportional to 466,767 and 1,023,893

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Solution

The third proportional to 466,767 and 1,023,893 is: 2,245,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,767 : 1,023,893 = 1,023,893 : x
  2. Step 2: Convert to fraction form
    466,767/1,023,893 = 1,023,893/x
  3. Step 3: Cross multiply
    466,767x = 1,023,893 × 1,023,893
  4. Step 4: Simplify right side
    466,767x = 1,048,356,875,449
  5. Step 5: Solve for x
    x = 1,048,356,875,449/466,767
  6. Step 6: Final answer
    x = 2,245,996.13

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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.