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Finding the Third Proportional to 490,353,850 and 1,046,171,843

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Solution

The third proportional to 490,353,850 and 1,046,171,843 is: 2,232,011,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,353,850 : 1,046,171,843 = 1,046,171,843 : x
  2. Step 2: Convert to fraction form
    490,353,850/1,046,171,843 = 1,046,171,843/x
  3. Step 3: Cross multiply
    490,353,850x = 1,046,171,843 × 1,046,171,843
  4. Step 4: Simplify right side
    490,353,850x = 1,094,475,525,086,016,640
  5. Step 5: Solve for x
    x = 1,094,475,525,086,016,640/490,353,850
  6. Step 6: Final answer
    x = 2,232,011,689.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.