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Finding the Third Proportional to 403,186,792 and 879,358,144

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Solution

The third proportional to 403,186,792 and 879,358,144 is: 1,917,897,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,186,792 : 879,358,144 = 879,358,144 : x
  2. Step 2: Convert to fraction form
    403,186,792/879,358,144 = 879,358,144/x
  3. Step 3: Cross multiply
    403,186,792x = 879,358,144 × 879,358,144
  4. Step 4: Simplify right side
    403,186,792x = 773,270,745,419,124,736
  5. Step 5: Solve for x
    x = 773,270,745,419,124,736/403,186,792
  6. Step 6: Final answer
    x = 1,917,897,016.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.