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Finding the Third Proportional to 583,253 and 1,268,748

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Solution

The third proportional to 583,253 and 1,268,748 is: 2,759,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,253 : 1,268,748 = 1,268,748 : x
  2. Step 2: Convert to fraction form
    583,253/1,268,748 = 1,268,748/x
  3. Step 3: Cross multiply
    583,253x = 1,268,748 × 1,268,748
  4. Step 4: Simplify right side
    583,253x = 1,609,721,487,504
  5. Step 5: Solve for x
    x = 1,609,721,487,504/583,253
  6. Step 6: Final answer
    x = 2,759,902.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.