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Finding the Third Proportional to 906,075,322 and 1,399,169,568

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Solution

The third proportional to 906,075,322 and 1,399,169,568 is: 2,160,610,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,075,322 : 1,399,169,568 = 1,399,169,568 : x
  2. Step 2: Convert to fraction form
    906,075,322/1,399,169,568 = 1,399,169,568/x
  3. Step 3: Cross multiply
    906,075,322x = 1,399,169,568 × 1,399,169,568
  4. Step 4: Simplify right side
    906,075,322x = 1,957,675,480,017,306,624
  5. Step 5: Solve for x
    x = 1,957,675,480,017,306,624/906,075,322
  6. Step 6: Final answer
    x = 2,160,610,086.69

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