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Finding the Third Proportional to 591,656 and 1,293,904

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Solution

The third proportional to 591,656 and 1,293,904 is: 2,829,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,656 : 1,293,904 = 1,293,904 : x
  2. Step 2: Convert to fraction form
    591,656/1,293,904 = 1,293,904/x
  3. Step 3: Cross multiply
    591,656x = 1,293,904 × 1,293,904
  4. Step 4: Simplify right side
    591,656x = 1,674,187,561,216
  5. Step 5: Solve for x
    x = 1,674,187,561,216/591,656
  6. Step 6: Final answer
    x = 2,829,663.79

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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.