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Finding the Third Proportional to 454,869,624 and 650,019,243

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Solution

The third proportional to 454,869,624 and 650,019,243 is: 928,892,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,624 : 650,019,243 = 650,019,243 : x
  2. Step 2: Convert to fraction form
    454,869,624/650,019,243 = 650,019,243/x
  3. Step 3: Cross multiply
    454,869,624x = 650,019,243 × 650,019,243
  4. Step 4: Simplify right side
    454,869,624x = 422,525,016,270,293,056
  5. Step 5: Solve for x
    x = 422,525,016,270,293,056/454,869,624
  6. Step 6: Final answer
    x = 928,892,574.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.