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Finding the Third Proportional to 1,777,119.75 and 2,732,064.19

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Solution

The third proportional to 1,777,119.75 and 2,732,064.19 is: 4,200,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,119.75 : 2,732,064.19 = 2,732,064.19 : x
  2. Step 2: Convert to fraction form
    1,777,119.75/2,732,064.19 = 2,732,064.19/x
  3. Step 3: Cross multiply
    1,777,119.75x = 2,732,064.19 × 2,732,064.19
  4. Step 4: Simplify right side
    1,777,119.75x = 7,464,174,724,620.04
  5. Step 5: Solve for x
    x = 7,464,174,724,620.04/1,777,119.75
  6. Step 6: Final answer
    x = 4,200,152.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.