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Finding the Third Proportional to 591,751 and 1,293,986

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Solution

The third proportional to 591,751 and 1,293,986 is: 2,829,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,751 : 1,293,986 = 1,293,986 : x
  2. Step 2: Convert to fraction form
    591,751/1,293,986 = 1,293,986/x
  3. Step 3: Cross multiply
    591,751x = 1,293,986 × 1,293,986
  4. Step 4: Simplify right side
    591,751x = 1,674,399,768,196
  5. Step 5: Solve for x
    x = 1,674,399,768,196/591,751
  6. Step 6: Final answer
    x = 2,829,568.13

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