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Finding the Third Proportional to 966,722 and 2,073,408

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Solution

The third proportional to 966,722 and 2,073,408 is: 4,447,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,722 : 2,073,408 = 2,073,408 : x
  2. Step 2: Convert to fraction form
    966,722/2,073,408 = 2,073,408/x
  3. Step 3: Cross multiply
    966,722x = 2,073,408 × 2,073,408
  4. Step 4: Simplify right side
    966,722x = 4,299,020,734,464
  5. Step 5: Solve for x
    x = 4,299,020,734,464/966,722
  6. Step 6: Final answer
    x = 4,447,008.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.