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Finding the Third Proportional to 590,593 and 1,264,835

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Solution

The third proportional to 590,593 and 1,264,835 is: 2,708,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,593 : 1,264,835 = 1,264,835 : x
  2. Step 2: Convert to fraction form
    590,593/1,264,835 = 1,264,835/x
  3. Step 3: Cross multiply
    590,593x = 1,264,835 × 1,264,835
  4. Step 4: Simplify right side
    590,593x = 1,599,807,577,225
  5. Step 5: Solve for x
    x = 1,599,807,577,225/590,593
  6. Step 6: Final answer
    x = 2,708,815.68

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