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Finding the Third Proportional to 3,110,024 and 4,641,032

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Solution

The third proportional to 3,110,024 and 4,641,032 is: 6,925,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,024 : 4,641,032 = 4,641,032 : x
  2. Step 2: Convert to fraction form
    3,110,024/4,641,032 = 4,641,032/x
  3. Step 3: Cross multiply
    3,110,024x = 4,641,032 × 4,641,032
  4. Step 4: Simplify right side
    3,110,024x = 21,539,178,025,024
  5. Step 5: Solve for x
    x = 21,539,178,025,024/3,110,024
  6. Step 6: Final answer
    x = 6,925,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.