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Finding the Third Proportional to 857,323 and 1,811,846

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Solution

The third proportional to 857,323 and 1,811,846 is: 3,829,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,323 : 1,811,846 = 1,811,846 : x
  2. Step 2: Convert to fraction form
    857,323/1,811,846 = 1,811,846/x
  3. Step 3: Cross multiply
    857,323x = 1,811,846 × 1,811,846
  4. Step 4: Simplify right side
    857,323x = 3,282,785,927,716
  5. Step 5: Solve for x
    x = 3,282,785,927,716/857,323
  6. Step 6: Final answer
    x = 3,829,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.