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Finding the Third Proportional to 414,681,406.88 and 890,904,690

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Solution

The third proportional to 414,681,406.88 and 890,904,690 is: 1,914,026,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,681,406.88 : 890,904,690 = 890,904,690 : x
  2. Step 2: Convert to fraction form
    414,681,406.88/890,904,690 = 890,904,690/x
  3. Step 3: Cross multiply
    414,681,406.88x = 890,904,690 × 890,904,690
  4. Step 4: Simplify right side
    414,681,406.88x = 793,711,166,663,996,160
  5. Step 5: Solve for x
    x = 793,711,166,663,996,160/414,681,406.88
  6. Step 6: Final answer
    x = 1,914,026,415.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.