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Finding the Third Proportional to 404,893,992 and 838,498,920

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Solution

The third proportional to 404,893,992 and 838,498,920 is: 1,736,455,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893,992 : 838,498,920 = 838,498,920 : x
  2. Step 2: Convert to fraction form
    404,893,992/838,498,920 = 838,498,920/x
  3. Step 3: Cross multiply
    404,893,992x = 838,498,920 × 838,498,920
  4. Step 4: Simplify right side
    404,893,992x = 703,080,438,841,166,336
  5. Step 5: Solve for x
    x = 703,080,438,841,166,336/404,893,992
  6. Step 6: Final answer
    x = 1,736,455,597.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.