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Finding the Third Proportional to 387,852 and 822,657

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Solution

The third proportional to 387,852 and 822,657 is: 1,744,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,852 : 822,657 = 822,657 : x
  2. Step 2: Convert to fraction form
    387,852/822,657 = 822,657/x
  3. Step 3: Cross multiply
    387,852x = 822,657 × 822,657
  4. Step 4: Simplify right side
    387,852x = 676,764,539,649
  5. Step 5: Solve for x
    x = 676,764,539,649/387,852
  6. Step 6: Final answer
    x = 1,744,904.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.