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Finding the Third Proportional to 853,670.39 and 1,312,170.89

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Solution

The third proportional to 853,670.39 and 1,312,170.89 is: 2,016,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,670.39 : 1,312,170.89 = 1,312,170.89 : x
  2. Step 2: Convert to fraction form
    853,670.39/1,312,170.89 = 1,312,170.89/x
  3. Step 3: Cross multiply
    853,670.39x = 1,312,170.89 × 1,312,170.89
  4. Step 4: Simplify right side
    853,670.39x = 1,721,792,446,203.61
  5. Step 5: Solve for x
    x = 1,721,792,446,203.61/853,670.39
  6. Step 6: Final answer
    x = 2,016,928.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.