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Finding the Third Proportional to 750,143 and 1,769,693

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Solution

The third proportional to 750,143 and 1,769,693 is: 4,174,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,143 : 1,769,693 = 1,769,693 : x
  2. Step 2: Convert to fraction form
    750,143/1,769,693 = 1,769,693/x
  3. Step 3: Cross multiply
    750,143x = 1,769,693 × 1,769,693
  4. Step 4: Simplify right side
    750,143x = 3,131,813,314,249
  5. Step 5: Solve for x
    x = 3,131,813,314,249/750,143
  6. Step 6: Final answer
    x = 4,174,955.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.