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Finding the Third Proportional to 966,262 and 1,312,161

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Solution

The third proportional to 966,262 and 1,312,161 is: 1,781,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,262 : 1,312,161 = 1,312,161 : x
  2. Step 2: Convert to fraction form
    966,262/1,312,161 = 1,312,161/x
  3. Step 3: Cross multiply
    966,262x = 1,312,161 × 1,312,161
  4. Step 4: Simplify right side
    966,262x = 1,721,766,489,921
  5. Step 5: Solve for x
    x = 1,721,766,489,921/966,262
  6. Step 6: Final answer
    x = 1,781,883.68

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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.