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Finding the Third Proportional to 974,885 and 2,103,909

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Solution

The third proportional to 974,885 and 2,103,909 is: 4,540,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,885 : 2,103,909 = 2,103,909 : x
  2. Step 2: Convert to fraction form
    974,885/2,103,909 = 2,103,909/x
  3. Step 3: Cross multiply
    974,885x = 2,103,909 × 2,103,909
  4. Step 4: Simplify right side
    974,885x = 4,426,433,080,281
  5. Step 5: Solve for x
    x = 4,426,433,080,281/974,885
  6. Step 6: Final answer
    x = 4,540,466.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.