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Finding the Third Proportional to 705,994,568 and 1,088,766,156

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Solution

The third proportional to 705,994,568 and 1,088,766,156 is: 1,679,066,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,994,568 : 1,088,766,156 = 1,088,766,156 : x
  2. Step 2: Convert to fraction form
    705,994,568/1,088,766,156 = 1,088,766,156/x
  3. Step 3: Cross multiply
    705,994,568x = 1,088,766,156 × 1,088,766,156
  4. Step 4: Simplify right side
    705,994,568x = 1,185,411,742,451,016,448
  5. Step 5: Solve for x
    x = 1,185,411,742,451,016,448/705,994,568
  6. Step 6: Final answer
    x = 1,679,066,378.38

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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.