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Finding the Third Proportional to 407,325,260 and 906,845,800

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Solution

The third proportional to 407,325,260 and 906,845,800 is: 2,018,949,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,325,260 : 906,845,800 = 906,845,800 : x
  2. Step 2: Convert to fraction form
    407,325,260/906,845,800 = 906,845,800/x
  3. Step 3: Cross multiply
    407,325,260x = 906,845,800 × 906,845,800
  4. Step 4: Simplify right side
    407,325,260x = 822,369,304,977,639,936
  5. Step 5: Solve for x
    x = 822,369,304,977,639,936/407,325,260
  6. Step 6: Final answer
    x = 2,018,949,929.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.