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Finding the Third Proportional to 459,888,045 and 1,008,811,404

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Solution

The third proportional to 459,888,045 and 1,008,811,404 is: 2,212,930,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,888,045 : 1,008,811,404 = 1,008,811,404 : x
  2. Step 2: Convert to fraction form
    459,888,045/1,008,811,404 = 1,008,811,404/x
  3. Step 3: Cross multiply
    459,888,045x = 1,008,811,404 × 1,008,811,404
  4. Step 4: Simplify right side
    459,888,045x = 1,017,700,448,840,451,200
  5. Step 5: Solve for x
    x = 1,017,700,448,840,451,200/459,888,045
  6. Step 6: Final answer
    x = 2,212,930,864.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.