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Finding the Third Proportional to 828,222 and 1,774,560

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Solution

The third proportional to 828,222 and 1,774,560 is: 3,802,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,222 : 1,774,560 = 1,774,560 : x
  2. Step 2: Convert to fraction form
    828,222/1,774,560 = 1,774,560/x
  3. Step 3: Cross multiply
    828,222x = 1,774,560 × 1,774,560
  4. Step 4: Simplify right side
    828,222x = 3,149,063,193,600
  5. Step 5: Solve for x
    x = 3,149,063,193,600/828,222
  6. Step 6: Final answer
    x = 3,802,196.99

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