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Finding the Third Proportional to 414,489,276 and 893,545,344

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Solution

The third proportional to 414,489,276 and 893,545,344 is: 1,926,282,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,489,276 : 893,545,344 = 893,545,344 : x
  2. Step 2: Convert to fraction form
    414,489,276/893,545,344 = 893,545,344/x
  3. Step 3: Cross multiply
    414,489,276x = 893,545,344 × 893,545,344
  4. Step 4: Simplify right side
    414,489,276x = 798,423,281,784,078,336
  5. Step 5: Solve for x
    x = 798,423,281,784,078,336/414,489,276
  6. Step 6: Final answer
    x = 1,926,282,121.19

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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.