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Finding the Third Proportional to 2,184,435 and 4,788,774

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Solution

The third proportional to 2,184,435 and 4,788,774 is: 10,498,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,435 : 4,788,774 = 4,788,774 : x
  2. Step 2: Convert to fraction form
    2,184,435/4,788,774 = 4,788,774/x
  3. Step 3: Cross multiply
    2,184,435x = 4,788,774 × 4,788,774
  4. Step 4: Simplify right side
    2,184,435x = 22,932,356,423,076
  5. Step 5: Solve for x
    x = 22,932,356,423,076/2,184,435
  6. Step 6: Final answer
    x = 10,498,072.24

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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.