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Finding the Third Proportional to 847,218.50 and 1,865,023

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Solution

The third proportional to 847,218.50 and 1,865,023 is: 4,105,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,218.50 : 1,865,023 = 1,865,023 : x
  2. Step 2: Convert to fraction form
    847,218.50/1,865,023 = 1,865,023/x
  3. Step 3: Cross multiply
    847,218.50x = 1,865,023 × 1,865,023
  4. Step 4: Simplify right side
    847,218.50x = 3,478,310,790,529
  5. Step 5: Solve for x
    x = 3,478,310,790,529/847,218.50
  6. Step 6: Final answer
    x = 4,105,565.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.