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Finding the Third Proportional to 466,194 and 1,000,356

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Solution

The third proportional to 466,194 and 1,000,356 is: 2,146,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,194 : 1,000,356 = 1,000,356 : x
  2. Step 2: Convert to fraction form
    466,194/1,000,356 = 1,000,356/x
  3. Step 3: Cross multiply
    466,194x = 1,000,356 × 1,000,356
  4. Step 4: Simplify right side
    466,194x = 1,000,712,126,736
  5. Step 5: Solve for x
    x = 1,000,712,126,736/466,194
  6. Step 6: Final answer
    x = 2,146,557.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.