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Finding the Third Proportional to 454,254,684 and 988,225,518

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Solution

The third proportional to 454,254,684 and 988,225,518 is: 2,149,872,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,254,684 : 988,225,518 = 988,225,518 : x
  2. Step 2: Convert to fraction form
    454,254,684/988,225,518 = 988,225,518/x
  3. Step 3: Cross multiply
    454,254,684x = 988,225,518 × 988,225,518
  4. Step 4: Simplify right side
    454,254,684x = 976,589,674,426,368,384
  5. Step 5: Solve for x
    x = 976,589,674,426,368,384/454,254,684
  6. Step 6: Final answer
    x = 2,149,872,546.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.