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Finding the Third Proportional to 454,772,682 and 1,000,223,856

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Solution

The third proportional to 454,772,682 and 1,000,223,856 is: 2,199,885,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,772,682 : 1,000,223,856 = 1,000,223,856 : x
  2. Step 2: Convert to fraction form
    454,772,682/1,000,223,856 = 1,000,223,856/x
  3. Step 3: Cross multiply
    454,772,682x = 1,000,223,856 × 1,000,223,856
  4. Step 4: Simplify right side
    454,772,682x = 1,000,447,762,111,508,736
  5. Step 5: Solve for x
    x = 1,000,447,762,111,508,736/454,772,682
  6. Step 6: Final answer
    x = 2,199,885,353.08

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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.