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Finding the Third Proportional to 974,376 and 2,125,818

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Solution

The third proportional to 974,376 and 2,125,818 is: 4,637,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,376 : 2,125,818 = 2,125,818 : x
  2. Step 2: Convert to fraction form
    974,376/2,125,818 = 2,125,818/x
  3. Step 3: Cross multiply
    974,376x = 2,125,818 × 2,125,818
  4. Step 4: Simplify right side
    974,376x = 4,519,102,169,124
  5. Step 5: Solve for x
    x = 4,519,102,169,124/974,376
  6. Step 6: Final answer
    x = 4,637,944.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.