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Finding the Third Proportional to 1,229,584,241 and 1,901,833,253

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Solution

The third proportional to 1,229,584,241 and 1,901,833,253 is: 2,941,620,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,584,241 : 1,901,833,253 = 1,901,833,253 : x
  2. Step 2: Convert to fraction form
    1,229,584,241/1,901,833,253 = 1,901,833,253/x
  3. Step 3: Cross multiply
    1,229,584,241x = 1,901,833,253 × 1,901,833,253
  4. Step 4: Simplify right side
    1,229,584,241x = 3,616,969,722,216,562,176
  5. Step 5: Solve for x
    x = 3,616,969,722,216,562,176/1,229,584,241
  6. Step 6: Final answer
    x = 2,941,620,103.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.