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Finding the Third Proportional to 966,072 and 2,098,257

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Solution

The third proportional to 966,072 and 2,098,257 is: 4,557,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,072 : 2,098,257 = 2,098,257 : x
  2. Step 2: Convert to fraction form
    966,072/2,098,257 = 2,098,257/x
  3. Step 3: Cross multiply
    966,072x = 2,098,257 × 2,098,257
  4. Step 4: Simplify right side
    966,072x = 4,402,682,438,049
  5. Step 5: Solve for x
    x = 4,402,682,438,049/966,072
  6. Step 6: Final answer
    x = 4,557,302.60

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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.