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Finding the Third Proportional to 576,254,028 and 1,261,797,144

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Solution

The third proportional to 576,254,028 and 1,261,797,144 is: 2,762,899,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,254,028 : 1,261,797,144 = 1,261,797,144 : x
  2. Step 2: Convert to fraction form
    576,254,028/1,261,797,144 = 1,261,797,144/x
  3. Step 3: Cross multiply
    576,254,028x = 1,261,797,144 × 1,261,797,144
  4. Step 4: Simplify right side
    576,254,028x = 1,592,132,032,606,556,672
  5. Step 5: Solve for x
    x = 1,592,132,032,606,556,672/576,254,028
  6. Step 6: Final answer
    x = 2,762,899,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.