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Finding the Third Proportional to 454,773,046 and 1,000,224,556

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Solution

The third proportional to 454,773,046 and 1,000,224,556 is: 2,199,886,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,773,046 : 1,000,224,556 = 1,000,224,556 : x
  2. Step 2: Convert to fraction form
    454,773,046/1,000,224,556 = 1,000,224,556/x
  3. Step 3: Cross multiply
    454,773,046x = 1,000,224,556 × 1,000,224,556
  4. Step 4: Simplify right side
    454,773,046x = 1,000,449,162,425,397,120
  5. Step 5: Solve for x
    x = 1,000,449,162,425,397,120/454,773,046
  6. Step 6: Final answer
    x = 2,199,886,671.44

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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.