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Finding the Third Proportional to 601,780,883 and 1,310,395,608

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Solution

The third proportional to 601,780,883 and 1,310,395,608 is: 2,853,425,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,780,883 : 1,310,395,608 = 1,310,395,608 : x
  2. Step 2: Convert to fraction form
    601,780,883/1,310,395,608 = 1,310,395,608/x
  3. Step 3: Cross multiply
    601,780,883x = 1,310,395,608 × 1,310,395,608
  4. Step 4: Simplify right side
    601,780,883x = 1,717,136,649,465,689,600
  5. Step 5: Solve for x
    x = 1,717,136,649,465,689,600/601,780,883
  6. Step 6: Final answer
    x = 2,853,425,055.49

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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.