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Finding the Third Proportional to 1,142,428 and 2,463,388

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Solution

The third proportional to 1,142,428 and 2,463,388 is: 5,311,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,428 : 2,463,388 = 2,463,388 : x
  2. Step 2: Convert to fraction form
    1,142,428/2,463,388 = 2,463,388/x
  3. Step 3: Cross multiply
    1,142,428x = 2,463,388 × 2,463,388
  4. Step 4: Simplify right side
    1,142,428x = 6,068,280,438,544
  5. Step 5: Solve for x
    x = 6,068,280,438,544/1,142,428
  6. Step 6: Final answer
    x = 5,311,739.94

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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.