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Finding the Third Proportional to 600,531,131 and 1,293,207,862

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Solution

The third proportional to 600,531,131 and 1,293,207,862 is: 2,784,845,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,531,131 : 1,293,207,862 = 1,293,207,862 : x
  2. Step 2: Convert to fraction form
    600,531,131/1,293,207,862 = 1,293,207,862/x
  3. Step 3: Cross multiply
    600,531,131x = 1,293,207,862 × 1,293,207,862
  4. Step 4: Simplify right side
    600,531,131x = 1,672,386,574,338,610,944
  5. Step 5: Solve for x
    x = 1,672,386,574,338,610,944/600,531,131
  6. Step 6: Final answer
    x = 2,784,845,760.71

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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.