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Finding the Third Proportional to 412,186,293 and 888,940,835

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Solution

The third proportional to 412,186,293 and 888,940,835 is: 1,917,132,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,293 : 888,940,835 = 888,940,835 : x
  2. Step 2: Convert to fraction form
    412,186,293/888,940,835 = 888,940,835/x
  3. Step 3: Cross multiply
    412,186,293x = 888,940,835 × 888,940,835
  4. Step 4: Simplify right side
    412,186,293x = 790,215,808,130,497,280
  5. Step 5: Solve for x
    x = 790,215,808,130,497,280/412,186,293
  6. Step 6: Final answer
    x = 1,917,132,669.26

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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.