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Finding the Third Proportional to 391,184 and 857,030

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Solution

The third proportional to 391,184 and 857,030 is: 1,877,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,184 : 857,030 = 857,030 : x
  2. Step 2: Convert to fraction form
    391,184/857,030 = 857,030/x
  3. Step 3: Cross multiply
    391,184x = 857,030 × 857,030
  4. Step 4: Simplify right side
    391,184x = 734,500,420,900
  5. Step 5: Solve for x
    x = 734,500,420,900/391,184
  6. Step 6: Final answer
    x = 1,877,634.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.