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Finding the Third Proportional to 966,672 and 2,073,312

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Solution

The third proportional to 966,672 and 2,073,312 is: 4,446,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,672 : 2,073,312 = 2,073,312 : x
  2. Step 2: Convert to fraction form
    966,672/2,073,312 = 2,073,312/x
  3. Step 3: Cross multiply
    966,672x = 2,073,312 × 2,073,312
  4. Step 4: Simplify right side
    966,672x = 4,298,622,649,344
  5. Step 5: Solve for x
    x = 4,298,622,649,344/966,672
  6. Step 6: Final answer
    x = 4,446,826.48

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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.