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Finding the Third Proportional to 1,047,760,709 and 1,610,483,286

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Solution

The third proportional to 1,047,760,709 and 1,610,483,286 is: 2,475,428,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,760,709 : 1,610,483,286 = 1,610,483,286 : x
  2. Step 2: Convert to fraction form
    1,047,760,709/1,610,483,286 = 1,610,483,286/x
  3. Step 3: Cross multiply
    1,047,760,709x = 1,610,483,286 × 1,610,483,286
  4. Step 4: Simplify right side
    1,047,760,709x = 2,593,656,414,485,357,568
  5. Step 5: Solve for x
    x = 2,593,656,414,485,357,568/1,047,760,709
  6. Step 6: Final answer
    x = 2,475,428,208.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.