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Finding the Third Proportional to 692,975,576 and 1,540,888,924

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Solution

The third proportional to 692,975,576 and 1,540,888,924 is: 3,426,294,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,975,576 : 1,540,888,924 = 1,540,888,924 : x
  2. Step 2: Convert to fraction form
    692,975,576/1,540,888,924 = 1,540,888,924/x
  3. Step 3: Cross multiply
    692,975,576x = 1,540,888,924 × 1,540,888,924
  4. Step 4: Simplify right side
    692,975,576x = 2,374,338,676,105,878,016
  5. Step 5: Solve for x
    x = 2,374,338,676,105,878,016/692,975,576
  6. Step 6: Final answer
    x = 3,426,294,891.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.