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Finding the Third Proportional to 1,380,727 and 3,012,473

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Solution

The third proportional to 1,380,727 and 3,012,473 is: 6,572,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,727 : 3,012,473 = 3,012,473 : x
  2. Step 2: Convert to fraction form
    1,380,727/3,012,473 = 3,012,473/x
  3. Step 3: Cross multiply
    1,380,727x = 3,012,473 × 3,012,473
  4. Step 4: Simplify right side
    1,380,727x = 9,074,993,575,729
  5. Step 5: Solve for x
    x = 9,074,993,575,729/1,380,727
  6. Step 6: Final answer
    x = 6,572,619.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.