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Finding the Third Proportional to 758,666.46 and 1,656,344.67

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Solution

The third proportional to 758,666.46 and 1,656,344.67 is: 3,616,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,666.46 : 1,656,344.67 = 1,656,344.67 : x
  2. Step 2: Convert to fraction form
    758,666.46/1,656,344.67 = 1,656,344.67/x
  3. Step 3: Cross multiply
    758,666.46x = 1,656,344.67 × 1,656,344.67
  4. Step 4: Simplify right side
    758,666.46x = 2,743,477,672,048.70
  5. Step 5: Solve for x
    x = 2,743,477,672,048.70/758,666.46
  6. Step 6: Final answer
    x = 3,616,184.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.