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Finding the Third Proportional to 1,357,646 and 2,012,972

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Solution

The third proportional to 1,357,646 and 2,012,972 is: 2,984,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,646 : 2,012,972 = 2,012,972 : x
  2. Step 2: Convert to fraction form
    1,357,646/2,012,972 = 2,012,972/x
  3. Step 3: Cross multiply
    1,357,646x = 2,012,972 × 2,012,972
  4. Step 4: Simplify right side
    1,357,646x = 4,052,056,272,784
  5. Step 5: Solve for x
    x = 4,052,056,272,784/1,357,646
  6. Step 6: Final answer
    x = 2,984,619.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.