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Finding the Third Proportional to 891,384.75 and 1,341,314.44

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Solution

The third proportional to 891,384.75 and 1,341,314.44 is: 2,018,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,384.75 : 1,341,314.44 = 1,341,314.44 : x
  2. Step 2: Convert to fraction form
    891,384.75/1,341,314.44 = 1,341,314.44/x
  3. Step 3: Cross multiply
    891,384.75x = 1,341,314.44 × 1,341,314.44
  4. Step 4: Simplify right side
    891,384.75x = 1,799,124,420,245.94
  5. Step 5: Solve for x
    x = 1,799,124,420,245.94/891,384.75
  6. Step 6: Final answer
    x = 2,018,347.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.