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Finding the Third Proportional to 2,005,083 and 4,329,774

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Solution

The third proportional to 2,005,083 and 4,329,774 is: 9,349,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,083 : 4,329,774 = 4,329,774 : x
  2. Step 2: Convert to fraction form
    2,005,083/4,329,774 = 4,329,774/x
  3. Step 3: Cross multiply
    2,005,083x = 4,329,774 × 4,329,774
  4. Step 4: Simplify right side
    2,005,083x = 18,746,942,891,076
  5. Step 5: Solve for x
    x = 18,746,942,891,076/2,005,083
  6. Step 6: Final answer
    x = 9,349,709.16

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Why These Related Problems?

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