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Finding the Third Proportional to 661,893 and 1,445,163

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Solution

The third proportional to 661,893 and 1,445,163 is: 3,155,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,893 : 1,445,163 = 1,445,163 : x
  2. Step 2: Convert to fraction form
    661,893/1,445,163 = 1,445,163/x
  3. Step 3: Cross multiply
    661,893x = 1,445,163 × 1,445,163
  4. Step 4: Simplify right side
    661,893x = 2,088,496,096,569
  5. Step 5: Solve for x
    x = 2,088,496,096,569/661,893
  6. Step 6: Final answer
    x = 3,155,337.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.