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Finding the Third Proportional to 286,095,261 and 617,927,244

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Solution

The third proportional to 286,095,261 and 617,927,244 is: 1,334,639,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,261 : 617,927,244 = 617,927,244 : x
  2. Step 2: Convert to fraction form
    286,095,261/617,927,244 = 617,927,244/x
  3. Step 3: Cross multiply
    286,095,261x = 617,927,244 × 617,927,244
  4. Step 4: Simplify right side
    286,095,261x = 381,834,078,877,435,520
  5. Step 5: Solve for x
    x = 381,834,078,877,435,520/286,095,261
  6. Step 6: Final answer
    x = 1,334,639,649.54

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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.