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Finding the Third Proportional to 1,345,300 and 2,870,200

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Solution

The third proportional to 1,345,300 and 2,870,200 is: 6,123,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,300 : 2,870,200 = 2,870,200 : x
  2. Step 2: Convert to fraction form
    1,345,300/2,870,200 = 2,870,200/x
  3. Step 3: Cross multiply
    1,345,300x = 2,870,200 × 2,870,200
  4. Step 4: Simplify right side
    1,345,300x = 8,238,048,040,000
  5. Step 5: Solve for x
    x = 8,238,048,040,000/1,345,300
  6. Step 6: Final answer
    x = 6,123,576.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.