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Finding the Third Proportional to 966,103.03 and 1,312,060.78

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Solution

The third proportional to 966,103.03 and 1,312,060.78 is: 1,781,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,103.03 : 1,312,060.78 = 1,312,060.78 : x
  2. Step 2: Convert to fraction form
    966,103.03/1,312,060.78 = 1,312,060.78/x
  3. Step 3: Cross multiply
    966,103.03x = 1,312,060.78 × 1,312,060.78
  4. Step 4: Simplify right side
    966,103.03x = 1,721,503,493,694.36
  5. Step 5: Solve for x
    x = 1,721,503,493,694.36/966,103.03
  6. Step 6: Final answer
    x = 1,781,904.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.