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Finding the Third Proportional to 1,727,125 and 2,709,016

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Solution

The third proportional to 1,727,125 and 2,709,016 is: 4,249,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,125 : 2,709,016 = 2,709,016 : x
  2. Step 2: Convert to fraction form
    1,727,125/2,709,016 = 2,709,016/x
  3. Step 3: Cross multiply
    1,727,125x = 2,709,016 × 2,709,016
  4. Step 4: Simplify right side
    1,727,125x = 7,338,767,688,256
  5. Step 5: Solve for x
    x = 7,338,767,688,256/1,727,125
  6. Step 6: Final answer
    x = 4,249,123.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.