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Finding the Third Proportional to 466,466 and 974,358

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Solution

The third proportional to 466,466 and 974,358 is: 2,035,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,466 : 974,358 = 974,358 : x
  2. Step 2: Convert to fraction form
    466,466/974,358 = 974,358/x
  3. Step 3: Cross multiply
    466,466x = 974,358 × 974,358
  4. Step 4: Simplify right side
    466,466x = 949,373,512,164
  5. Step 5: Solve for x
    x = 949,373,512,164/466,466
  6. Step 6: Final answer
    x = 2,035,246.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.