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Finding the Third Proportional to 580,770 and 1,245,591

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Solution

The third proportional to 580,770 and 1,245,591 is: 2,671,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,770 : 1,245,591 = 1,245,591 : x
  2. Step 2: Convert to fraction form
    580,770/1,245,591 = 1,245,591/x
  3. Step 3: Cross multiply
    580,770x = 1,245,591 × 1,245,591
  4. Step 4: Simplify right side
    580,770x = 1,551,496,939,281
  5. Step 5: Solve for x
    x = 1,551,496,939,281/580,770
  6. Step 6: Final answer
    x = 2,671,448.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.