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Finding the Third Proportional to 583,830 and 1,242,990

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Solution

The third proportional to 583,830 and 1,242,990 is: 2,646,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,830 : 1,242,990 = 1,242,990 : x
  2. Step 2: Convert to fraction form
    583,830/1,242,990 = 1,242,990/x
  3. Step 3: Cross multiply
    583,830x = 1,242,990 × 1,242,990
  4. Step 4: Simplify right side
    583,830x = 1,545,024,140,100
  5. Step 5: Solve for x
    x = 1,545,024,140,100/583,830
  6. Step 6: Final answer
    x = 2,646,359.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.