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Finding the Third Proportional to 454,773,040 and 1,000,224,544

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Solution

The third proportional to 454,773,040 and 1,000,224,544 is: 2,199,886,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,773,040 : 1,000,224,544 = 1,000,224,544 : x
  2. Step 2: Convert to fraction form
    454,773,040/1,000,224,544 = 1,000,224,544/x
  3. Step 3: Cross multiply
    454,773,040x = 1,000,224,544 × 1,000,224,544
  4. Step 4: Simplify right side
    454,773,040x = 1,000,449,138,420,007,936
  5. Step 5: Solve for x
    x = 1,000,449,138,420,007,936/454,773,040
  6. Step 6: Final answer
    x = 2,199,886,647.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.