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Finding the Third Proportional to 1,345,290 and 2,870,180

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Solution

The third proportional to 1,345,290 and 2,870,180 is: 6,123,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,290 : 2,870,180 = 2,870,180 : x
  2. Step 2: Convert to fraction form
    1,345,290/2,870,180 = 2,870,180/x
  3. Step 3: Cross multiply
    1,345,290x = 2,870,180 × 2,870,180
  4. Step 4: Simplify right side
    1,345,290x = 8,237,933,232,400
  5. Step 5: Solve for x
    x = 8,237,933,232,400/1,345,290
  6. Step 6: Final answer
    x = 6,123,537.11

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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.