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Finding the Third Proportional to 966,206 and 2,098,897

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Solution

The third proportional to 966,206 and 2,098,897 is: 4,559,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,206 : 2,098,897 = 2,098,897 : x
  2. Step 2: Convert to fraction form
    966,206/2,098,897 = 2,098,897/x
  3. Step 3: Cross multiply
    966,206x = 2,098,897 × 2,098,897
  4. Step 4: Simplify right side
    966,206x = 4,405,368,616,609
  5. Step 5: Solve for x
    x = 4,405,368,616,609/966,206
  6. Step 6: Final answer
    x = 4,559,450.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.