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Finding the Third Proportional to 521,826,412 and 1,118,350,698

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Solution

The third proportional to 521,826,412 and 1,118,350,698 is: 2,396,789,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,412 : 1,118,350,698 = 1,118,350,698 : x
  2. Step 2: Convert to fraction form
    521,826,412/1,118,350,698 = 1,118,350,698/x
  3. Step 3: Cross multiply
    521,826,412x = 1,118,350,698 × 1,118,350,698
  4. Step 4: Simplify right side
    521,826,412x = 1,250,708,283,717,087,232
  5. Step 5: Solve for x
    x = 1,250,708,283,717,087,232/521,826,412
  6. Step 6: Final answer
    x = 2,396,789,918.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.