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Finding the Third Proportional to 414,687,943 and 890,917,623

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Solution

The third proportional to 414,687,943 and 890,917,623 is: 1,914,051,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687,943 : 890,917,623 = 890,917,623 : x
  2. Step 2: Convert to fraction form
    414,687,943/890,917,623 = 890,917,623/x
  3. Step 3: Cross multiply
    414,687,943x = 890,917,623 × 890,917,623
  4. Step 4: Simplify right side
    414,687,943x = 793,734,210,971,970,176
  5. Step 5: Solve for x
    x = 793,734,210,971,970,176/414,687,943
  6. Step 6: Final answer
    x = 1,914,051,817.45

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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.