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Finding the Third Proportional to 1,475,145 and 3,218,379.75

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Solution

The third proportional to 1,475,145 and 3,218,379.75 is: 7,021,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,145 : 3,218,379.75 = 3,218,379.75 : x
  2. Step 2: Convert to fraction form
    1,475,145/3,218,379.75 = 3,218,379.75/x
  3. Step 3: Cross multiply
    1,475,145x = 3,218,379.75 × 3,218,379.75
  4. Step 4: Simplify right side
    1,475,145x = 10,357,968,215,210.06
  5. Step 5: Solve for x
    x = 10,357,968,215,210.06/1,475,145
  6. Step 6: Final answer
    x = 7,021,661.07

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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.