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Finding the Third Proportional to 966,042 and 2,118,708

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Solution

The third proportional to 966,042 and 2,118,708 is: 4,646,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,042 : 2,118,708 = 2,118,708 : x
  2. Step 2: Convert to fraction form
    966,042/2,118,708 = 2,118,708/x
  3. Step 3: Cross multiply
    966,042x = 2,118,708 × 2,118,708
  4. Step 4: Simplify right side
    966,042x = 4,488,923,589,264
  5. Step 5: Solve for x
    x = 4,488,923,589,264/966,042
  6. Step 6: Final answer
    x = 4,646,716.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.