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Finding the Third Proportional to 498,366,047 and 773,669,181

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Solution

The third proportional to 498,366,047 and 773,669,181 is: 1,201,052,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,047 : 773,669,181 = 773,669,181 : x
  2. Step 2: Convert to fraction form
    498,366,047/773,669,181 = 773,669,181/x
  3. Step 3: Cross multiply
    498,366,047x = 773,669,181 × 773,669,181
  4. Step 4: Simplify right side
    498,366,047x = 598,564,001,629,210,752
  5. Step 5: Solve for x
    x = 598,564,001,629,210,752/498,366,047
  6. Step 6: Final answer
    x = 1,201,052,931.34

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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.