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Finding the Third Proportional to 412,186,480 and 888,941,216

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Solution

The third proportional to 412,186,480 and 888,941,216 is: 1,917,133,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,480 : 888,941,216 = 888,941,216 : x
  2. Step 2: Convert to fraction form
    412,186,480/888,941,216 = 888,941,216/x
  3. Step 3: Cross multiply
    412,186,480x = 888,941,216 × 888,941,216
  4. Step 4: Simplify right side
    412,186,480x = 790,216,485,503,558,656
  5. Step 5: Solve for x
    x = 790,216,485,503,558,656/412,186,480
  6. Step 6: Final answer
    x = 1,917,133,442.86

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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.