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Finding the Third Proportional to 1,015,642 and 1,543,409

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Solution

The third proportional to 1,015,642 and 1,543,409 is: 2,345,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,642 : 1,543,409 = 1,543,409 : x
  2. Step 2: Convert to fraction form
    1,015,642/1,543,409 = 1,543,409/x
  3. Step 3: Cross multiply
    1,015,642x = 1,543,409 × 1,543,409
  4. Step 4: Simplify right side
    1,015,642x = 2,382,111,341,281
  5. Step 5: Solve for x
    x = 2,382,111,341,281/1,015,642
  6. Step 6: Final answer
    x = 2,345,424.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.