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Finding the Third Proportional to 601,986,205.13 and 920,971,491.75

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Solution

The third proportional to 601,986,205.13 and 920,971,491.75 is: 1,408,983,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,986,205.13 : 920,971,491.75 = 920,971,491.75 : x
  2. Step 2: Convert to fraction form
    601,986,205.13/920,971,491.75 = 920,971,491.75/x
  3. Step 3: Cross multiply
    601,986,205.13x = 920,971,491.75 × 920,971,491.75
  4. Step 4: Simplify right side
    601,986,205.13x = 848,188,488,616,220,288
  5. Step 5: Solve for x
    x = 848,188,488,616,220,288/601,986,205.13
  6. Step 6: Final answer
    x = 1,408,983,264.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.