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Finding the Third Proportional to 310,904 and 822,846

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Solution

The third proportional to 310,904 and 822,846 is: 2,177,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904 : 822,846 = 822,846 : x
  2. Step 2: Convert to fraction form
    310,904/822,846 = 822,846/x
  3. Step 3: Cross multiply
    310,904x = 822,846 × 822,846
  4. Step 4: Simplify right side
    310,904x = 677,075,539,716
  5. Step 5: Solve for x
    x = 677,075,539,716/310,904
  6. Step 6: Final answer
    x = 2,177,764.00

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.