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Finding the Third Proportional to 1,776,438 and 2,564,057

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Solution

The third proportional to 1,776,438 and 2,564,057 is: 3,700,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,438 : 2,564,057 = 2,564,057 : x
  2. Step 2: Convert to fraction form
    1,776,438/2,564,057 = 2,564,057/x
  3. Step 3: Cross multiply
    1,776,438x = 2,564,057 × 2,564,057
  4. Step 4: Simplify right side
    1,776,438x = 6,574,388,299,249
  5. Step 5: Solve for x
    x = 6,574,388,299,249/1,776,438
  6. Step 6: Final answer
    x = 3,700,882.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.