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Finding the Third Proportional to 447,451,828 and 1,054,768,364

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Solution

The third proportional to 447,451,828 and 1,054,768,364 is: 2,486,382,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,451,828 : 1,054,768,364 = 1,054,768,364 : x
  2. Step 2: Convert to fraction form
    447,451,828/1,054,768,364 = 1,054,768,364/x
  3. Step 3: Cross multiply
    447,451,828x = 1,054,768,364 × 1,054,768,364
  4. Step 4: Simplify right side
    447,451,828x = 1,112,536,301,695,236,480
  5. Step 5: Solve for x
    x = 1,112,536,301,695,236,480/447,451,828
  6. Step 6: Final answer
    x = 2,486,382,292.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.