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Finding the Third Proportional to 966,724 and 2,073,412

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Solution

The third proportional to 966,724 and 2,073,412 is: 4,447,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,724 : 2,073,412 = 2,073,412 : x
  2. Step 2: Convert to fraction form
    966,724/2,073,412 = 2,073,412/x
  3. Step 3: Cross multiply
    966,724x = 2,073,412 × 2,073,412
  4. Step 4: Simplify right side
    966,724x = 4,299,037,321,744
  5. Step 5: Solve for x
    x = 4,299,037,321,744/966,724
  6. Step 6: Final answer
    x = 4,447,016.23

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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.