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Finding the Third Proportional to 4,289,170.50 and 6,686,964

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Solution

The third proportional to 4,289,170.50 and 6,686,964 is: 10,425,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,170.50 : 6,686,964 = 6,686,964 : x
  2. Step 2: Convert to fraction form
    4,289,170.50/6,686,964 = 6,686,964/x
  3. Step 3: Cross multiply
    4,289,170.50x = 6,686,964 × 6,686,964
  4. Step 4: Simplify right side
    4,289,170.50x = 44,715,487,537,296
  5. Step 5: Solve for x
    x = 44,715,487,537,296/4,289,170.50
  6. Step 6: Final answer
    x = 10,425,206.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.