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Finding the Third Proportional to 966,818 and 2,117,020

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Solution

The third proportional to 966,818 and 2,117,020 is: 4,635,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,818 : 2,117,020 = 2,117,020 : x
  2. Step 2: Convert to fraction form
    966,818/2,117,020 = 2,117,020/x
  3. Step 3: Cross multiply
    966,818x = 2,117,020 × 2,117,020
  4. Step 4: Simplify right side
    966,818x = 4,481,773,680,400
  5. Step 5: Solve for x
    x = 4,481,773,680,400/966,818
  6. Step 6: Final answer
    x = 4,635,591.89

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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.