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Finding the Third Proportional to 1,679,098.50 and 2,663,052.75

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Solution

The third proportional to 1,679,098.50 and 2,663,052.75 is: 4,223,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679,098.50 : 2,663,052.75 = 2,663,052.75 : x
  2. Step 2: Convert to fraction form
    1,679,098.50/2,663,052.75 = 2,663,052.75/x
  3. Step 3: Cross multiply
    1,679,098.50x = 2,663,052.75 × 2,663,052.75
  4. Step 4: Simplify right side
    1,679,098.50x = 7,091,849,949,282.56
  5. Step 5: Solve for x
    x = 7,091,849,949,282.56/1,679,098.50
  6. Step 6: Final answer
    x = 4,223,605.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.