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Finding the Third Proportional to 400,858,752 and 838,369,413

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Solution

The third proportional to 400,858,752 and 838,369,413 is: 1,753,393,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858,752 : 838,369,413 = 838,369,413 : x
  2. Step 2: Convert to fraction form
    400,858,752/838,369,413 = 838,369,413/x
  3. Step 3: Cross multiply
    400,858,752x = 838,369,413 × 838,369,413
  4. Step 4: Simplify right side
    400,858,752x = 702,863,272,653,964,544
  5. Step 5: Solve for x
    x = 702,863,272,653,964,544/400,858,752
  6. Step 6: Final answer
    x = 1,753,393,855.43

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.