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Finding the Third Proportional to 1,578,075 and 3,451,382

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Solution

The third proportional to 1,578,075 and 3,451,382 is: 7,548,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,075 : 3,451,382 = 3,451,382 : x
  2. Step 2: Convert to fraction form
    1,578,075/3,451,382 = 3,451,382/x
  3. Step 3: Cross multiply
    1,578,075x = 3,451,382 × 3,451,382
  4. Step 4: Simplify right side
    1,578,075x = 11,912,037,709,924
  5. Step 5: Solve for x
    x = 11,912,037,709,924/1,578,075
  6. Step 6: Final answer
    x = 7,548,461.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.