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Finding the Third Proportional to 828,225 and 1,774,566

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Solution

The third proportional to 828,225 and 1,774,566 is: 3,802,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,225 : 1,774,566 = 1,774,566 : x
  2. Step 2: Convert to fraction form
    828,225/1,774,566 = 1,774,566/x
  3. Step 3: Cross multiply
    828,225x = 1,774,566 × 1,774,566
  4. Step 4: Simplify right side
    828,225x = 3,149,084,488,356
  5. Step 5: Solve for x
    x = 3,149,084,488,356/828,225
  6. Step 6: Final answer
    x = 3,802,208.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.