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Finding the Third Proportional to 894,182 and 1,352,829

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Solution

The third proportional to 894,182 and 1,352,829 is: 2,046,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,182 : 1,352,829 = 1,352,829 : x
  2. Step 2: Convert to fraction form
    894,182/1,352,829 = 1,352,829/x
  3. Step 3: Cross multiply
    894,182x = 1,352,829 × 1,352,829
  4. Step 4: Simplify right side
    894,182x = 1,830,146,303,241
  5. Step 5: Solve for x
    x = 1,830,146,303,241/894,182
  6. Step 6: Final answer
    x = 2,046,726.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.