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Finding the Third Proportional to 1,783,448 and 3,857,776

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Solution

The third proportional to 1,783,448 and 3,857,776 is: 8,344,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,448 : 3,857,776 = 3,857,776 : x
  2. Step 2: Convert to fraction form
    1,783,448/3,857,776 = 3,857,776/x
  3. Step 3: Cross multiply
    1,783,448x = 3,857,776 × 3,857,776
  4. Step 4: Simplify right side
    1,783,448x = 14,882,435,666,176
  5. Step 5: Solve for x
    x = 14,882,435,666,176/1,783,448
  6. Step 6: Final answer
    x = 8,344,754.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.