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Finding the Third Proportional to 286,095,269 and 617,927,257

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Solution

The third proportional to 286,095,269 and 617,927,257 is: 1,334,639,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,269 : 617,927,257 = 617,927,257 : x
  2. Step 2: Convert to fraction form
    286,095,269/617,927,257 = 617,927,257/x
  3. Step 3: Cross multiply
    286,095,269x = 617,927,257 × 617,927,257
  4. Step 4: Simplify right side
    286,095,269x = 381,834,094,943,544,064
  5. Step 5: Solve for x
    x = 381,834,094,943,544,064/286,095,269
  6. Step 6: Final answer
    x = 1,334,639,668.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.