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Finding the Third Proportional to 861,258 and 1,854,138

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Solution

The third proportional to 861,258 and 1,854,138 is: 3,991,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,258 : 1,854,138 = 1,854,138 : x
  2. Step 2: Convert to fraction form
    861,258/1,854,138 = 1,854,138/x
  3. Step 3: Cross multiply
    861,258x = 1,854,138 × 1,854,138
  4. Step 4: Simplify right side
    861,258x = 3,437,827,723,044
  5. Step 5: Solve for x
    x = 3,437,827,723,044/861,258
  6. Step 6: Final answer
    x = 3,991,635.17

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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.