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Finding the Third Proportional to 454,773,044 and 1,000,224,552

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Solution

The third proportional to 454,773,044 and 1,000,224,552 is: 2,199,886,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,773,044 : 1,000,224,552 = 1,000,224,552 : x
  2. Step 2: Convert to fraction form
    454,773,044/1,000,224,552 = 1,000,224,552/x
  3. Step 3: Cross multiply
    454,773,044x = 1,000,224,552 × 1,000,224,552
  4. Step 4: Simplify right side
    454,773,044x = 1,000,449,154,423,600,640
  5. Step 5: Solve for x
    x = 1,000,449,154,423,600,640/454,773,044
  6. Step 6: Final answer
    x = 2,199,886,663.52

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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.