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Finding the Third Proportional to 728,194 and 1,584,207

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Solution

The third proportional to 728,194 and 1,584,207 is: 3,446,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,194 : 1,584,207 = 1,584,207 : x
  2. Step 2: Convert to fraction form
    728,194/1,584,207 = 1,584,207/x
  3. Step 3: Cross multiply
    728,194x = 1,584,207 × 1,584,207
  4. Step 4: Simplify right side
    728,194x = 2,509,711,818,849
  5. Step 5: Solve for x
    x = 2,509,711,818,849/728,194
  6. Step 6: Final answer
    x = 3,446,487.91

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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.