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Finding the Third Proportional to 974,868 and 2,103,873

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Solution

The third proportional to 974,868 and 2,103,873 is: 4,540,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,868 : 2,103,873 = 2,103,873 : x
  2. Step 2: Convert to fraction form
    974,868/2,103,873 = 2,103,873/x
  3. Step 3: Cross multiply
    974,868x = 2,103,873 × 2,103,873
  4. Step 4: Simplify right side
    974,868x = 4,426,281,600,129
  5. Step 5: Solve for x
    x = 4,426,281,600,129/974,868
  6. Step 6: Final answer
    x = 4,540,390.70

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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.