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Finding the Third Proportional to 286,095,252 and 617,927,226

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Solution

The third proportional to 286,095,252 and 617,927,226 is: 1,334,639,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,252 : 617,927,226 = 617,927,226 : x
  2. Step 2: Convert to fraction form
    286,095,252/617,927,226 = 617,927,226/x
  3. Step 3: Cross multiply
    286,095,252x = 617,927,226 × 617,927,226
  4. Step 4: Simplify right side
    286,095,252x = 381,834,056,632,055,104
  5. Step 5: Solve for x
    x = 381,834,056,632,055,104/286,095,252
  6. Step 6: Final answer
    x = 1,334,639,613.77

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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.