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Finding the Third Proportional to 1,578,100 and 3,451,428

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Solution

The third proportional to 1,578,100 and 3,451,428 is: 7,548,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,100 : 3,451,428 = 3,451,428 : x
  2. Step 2: Convert to fraction form
    1,578,100/3,451,428 = 3,451,428/x
  3. Step 3: Cross multiply
    1,578,100x = 3,451,428 × 3,451,428
  4. Step 4: Simplify right side
    1,578,100x = 11,912,355,239,184
  5. Step 5: Solve for x
    x = 11,912,355,239,184/1,578,100
  6. Step 6: Final answer
    x = 7,548,542.70

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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.