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Finding the Third Proportional to 2,853,792 and 6,178,032

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Solution

The third proportional to 2,853,792 and 6,178,032 is: 13,374,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,792 : 6,178,032 = 6,178,032 : x
  2. Step 2: Convert to fraction form
    2,853,792/6,178,032 = 6,178,032/x
  3. Step 3: Cross multiply
    2,853,792x = 6,178,032 × 6,178,032
  4. Step 4: Simplify right side
    2,853,792x = 38,168,079,393,024
  5. Step 5: Solve for x
    x = 38,168,079,393,024/2,853,792
  6. Step 6: Final answer
    x = 13,374,513.42

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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.