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Finding the Third Proportional to 466,332 and 1,006,224

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Solution

The third proportional to 466,332 and 1,006,224 is: 2,171,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,332 : 1,006,224 = 1,006,224 : x
  2. Step 2: Convert to fraction form
    466,332/1,006,224 = 1,006,224/x
  3. Step 3: Cross multiply
    466,332x = 1,006,224 × 1,006,224
  4. Step 4: Simplify right side
    466,332x = 1,012,486,738,176
  5. Step 5: Solve for x
    x = 1,012,486,738,176/466,332
  6. Step 6: Final answer
    x = 2,171,171.48

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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.