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Finding the Third Proportional to 580,549,998 and 1,253,452,884

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Solution

The third proportional to 580,549,998 and 1,253,452,884 is: 2,706,302,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,549,998 : 1,253,452,884 = 1,253,452,884 : x
  2. Step 2: Convert to fraction form
    580,549,998/1,253,452,884 = 1,253,452,884/x
  3. Step 3: Cross multiply
    580,549,998x = 1,253,452,884 × 1,253,452,884
  4. Step 4: Simplify right side
    580,549,998x = 1,571,144,132,407,917,568
  5. Step 5: Solve for x
    x = 1,571,144,132,407,917,568/580,549,998
  6. Step 6: Final answer
    x = 2,706,302,881.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.