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Finding the Third Proportional to 817,886 and 1,676,569

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Solution

The third proportional to 817,886 and 1,676,569 is: 3,436,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,886 : 1,676,569 = 1,676,569 : x
  2. Step 2: Convert to fraction form
    817,886/1,676,569 = 1,676,569/x
  3. Step 3: Cross multiply
    817,886x = 1,676,569 × 1,676,569
  4. Step 4: Simplify right side
    817,886x = 2,810,883,611,761
  5. Step 5: Solve for x
    x = 2,810,883,611,761/817,886
  6. Step 6: Final answer
    x = 3,436,767.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.