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Finding the Third Proportional to 834,384 and 1,817,484

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Solution

The third proportional to 834,384 and 1,817,484 is: 3,958,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,384 : 1,817,484 = 1,817,484 : x
  2. Step 2: Convert to fraction form
    834,384/1,817,484 = 1,817,484/x
  3. Step 3: Cross multiply
    834,384x = 1,817,484 × 1,817,484
  4. Step 4: Simplify right side
    834,384x = 3,303,248,090,256
  5. Step 5: Solve for x
    x = 3,303,248,090,256/834,384
  6. Step 6: Final answer
    x = 3,958,906.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.