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Finding the Third Proportional to 828,290 and 1,774,628

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Solution

The third proportional to 828,290 and 1,774,628 is: 3,802,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,290 : 1,774,628 = 1,774,628 : x
  2. Step 2: Convert to fraction form
    828,290/1,774,628 = 1,774,628/x
  3. Step 3: Cross multiply
    828,290x = 1,774,628 × 1,774,628
  4. Step 4: Simplify right side
    828,290x = 3,149,304,538,384
  5. Step 5: Solve for x
    x = 3,149,304,538,384/828,290
  6. Step 6: Final answer
    x = 3,802,176.22

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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.