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Finding the Third Proportional to 413,259,504 and 899,158,017

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Solution

The third proportional to 413,259,504 and 899,158,017 is: 1,956,361,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,259,504 : 899,158,017 = 899,158,017 : x
  2. Step 2: Convert to fraction form
    413,259,504/899,158,017 = 899,158,017/x
  3. Step 3: Cross multiply
    413,259,504x = 899,158,017 × 899,158,017
  4. Step 4: Simplify right side
    413,259,504x = 808,485,139,535,372,288
  5. Step 5: Solve for x
    x = 808,485,139,535,372,288/413,259,504
  6. Step 6: Final answer
    x = 1,956,361,878.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.