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Finding the Third Proportional to 1,207,312.50 and 1,633,821

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Solution

The third proportional to 1,207,312.50 and 1,633,821 is: 2,211,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,312.50 : 1,633,821 = 1,633,821 : x
  2. Step 2: Convert to fraction form
    1,207,312.50/1,633,821 = 1,633,821/x
  3. Step 3: Cross multiply
    1,207,312.50x = 1,633,821 × 1,633,821
  4. Step 4: Simplify right side
    1,207,312.50x = 2,669,371,060,041
  5. Step 5: Solve for x
    x = 2,669,371,060,041/1,207,312.50
  6. Step 6: Final answer
    x = 2,211,002.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.