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Finding the Third Proportional to 974,328 and 2,125,254

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Solution

The third proportional to 974,328 and 2,125,254 is: 4,635,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,328 : 2,125,254 = 2,125,254 : x
  2. Step 2: Convert to fraction form
    974,328/2,125,254 = 2,125,254/x
  3. Step 3: Cross multiply
    974,328x = 2,125,254 × 2,125,254
  4. Step 4: Simplify right side
    974,328x = 4,516,704,564,516
  5. Step 5: Solve for x
    x = 4,516,704,564,516/974,328
  6. Step 6: Final answer
    x = 4,635,712.58

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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.