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Finding the Third Proportional to 966,438 and 2,098,953

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Solution

The third proportional to 966,438 and 2,098,953 is: 4,558,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,438 : 2,098,953 = 2,098,953 : x
  2. Step 2: Convert to fraction form
    966,438/2,098,953 = 2,098,953/x
  3. Step 3: Cross multiply
    966,438x = 2,098,953 × 2,098,953
  4. Step 4: Simplify right side
    966,438x = 4,405,603,696,209
  5. Step 5: Solve for x
    x = 4,405,603,696,209/966,438
  6. Step 6: Final answer
    x = 4,558,599.41

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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.