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Finding the Third Proportional to 931,984 and 2,073,922

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Solution

The third proportional to 931,984 and 2,073,922 is: 4,615,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,984 : 2,073,922 = 2,073,922 : x
  2. Step 2: Convert to fraction form
    931,984/2,073,922 = 2,073,922/x
  3. Step 3: Cross multiply
    931,984x = 2,073,922 × 2,073,922
  4. Step 4: Simplify right side
    931,984x = 4,301,152,462,084
  5. Step 5: Solve for x
    x = 4,301,152,462,084/931,984
  6. Step 6: Final answer
    x = 4,615,049.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.