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Finding the Third Proportional to 966,066 and 1,270,683

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Solution

The third proportional to 966,066 and 1,270,683 is: 1,671,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,066 : 1,270,683 = 1,270,683 : x
  2. Step 2: Convert to fraction form
    966,066/1,270,683 = 1,270,683/x
  3. Step 3: Cross multiply
    966,066x = 1,270,683 × 1,270,683
  4. Step 4: Simplify right side
    966,066x = 1,614,635,286,489
  5. Step 5: Solve for x
    x = 1,614,635,286,489/966,066
  6. Step 6: Final answer
    x = 1,671,350.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.