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Finding the Third Proportional to 413,259,531 and 899,158,062

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Solution

The third proportional to 413,259,531 and 899,158,062 is: 1,956,361,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,259,531 : 899,158,062 = 899,158,062 : x
  2. Step 2: Convert to fraction form
    413,259,531/899,158,062 = 899,158,062/x
  3. Step 3: Cross multiply
    413,259,531x = 899,158,062 × 899,158,062
  4. Step 4: Simplify right side
    413,259,531x = 808,485,220,459,595,904
  5. Step 5: Solve for x
    x = 808,485,220,459,595,904/413,259,531
  6. Step 6: Final answer
    x = 1,956,361,946.46

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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.