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Finding the Third Proportional to 966,726 and 2,073,416

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Solution

The third proportional to 966,726 and 2,073,416 is: 4,447,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,726 : 2,073,416 = 2,073,416 : x
  2. Step 2: Convert to fraction form
    966,726/2,073,416 = 2,073,416/x
  3. Step 3: Cross multiply
    966,726x = 2,073,416 × 2,073,416
  4. Step 4: Simplify right side
    966,726x = 4,299,053,909,056
  5. Step 5: Solve for x
    x = 4,299,053,909,056/966,726
  6. Step 6: Final answer
    x = 4,447,024.19

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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.