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Finding the Third Proportional to 591,588 and 1,295,124

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Solution

The third proportional to 591,588 and 1,295,124 is: 2,835,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,588 : 1,295,124 = 1,295,124 : x
  2. Step 2: Convert to fraction form
    591,588/1,295,124 = 1,295,124/x
  3. Step 3: Cross multiply
    591,588x = 1,295,124 × 1,295,124
  4. Step 4: Simplify right side
    591,588x = 1,677,346,175,376
  5. Step 5: Solve for x
    x = 1,677,346,175,376/591,588
  6. Step 6: Final answer
    x = 2,835,328.26

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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.