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Finding the Third Proportional to 966,843 and 2,073,582

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Solution

The third proportional to 966,843 and 2,073,582 is: 4,447,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,843 : 2,073,582 = 2,073,582 : x
  2. Step 2: Convert to fraction form
    966,843/2,073,582 = 2,073,582/x
  3. Step 3: Cross multiply
    966,843x = 2,073,582 × 2,073,582
  4. Step 4: Simplify right side
    966,843x = 4,299,742,310,724
  5. Step 5: Solve for x
    x = 4,299,742,310,724/966,843
  6. Step 6: Final answer
    x = 4,447,198.06

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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.