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Finding the Third Proportional to 1,028,456,606 and 1,566,747,378

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Solution

The third proportional to 1,028,456,606 and 1,566,747,378 is: 2,386,777,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,456,606 : 1,566,747,378 = 1,566,747,378 : x
  2. Step 2: Convert to fraction form
    1,028,456,606/1,566,747,378 = 1,566,747,378/x
  3. Step 3: Cross multiply
    1,028,456,606x = 1,566,747,378 × 1,566,747,378
  4. Step 4: Simplify right side
    1,028,456,606x = 2,454,697,346,469,874,688
  5. Step 5: Solve for x
    x = 2,454,697,346,469,874,688/1,028,456,606
  6. Step 6: Final answer
    x = 2,386,777,752.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.