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Finding the Third Proportional to 580,083 and 1,245,854.25

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Solution

The third proportional to 580,083 and 1,245,854.25 is: 2,675,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,083 : 1,245,854.25 = 1,245,854.25 : x
  2. Step 2: Convert to fraction form
    580,083/1,245,854.25 = 1,245,854.25/x
  3. Step 3: Cross multiply
    580,083x = 1,245,854.25 × 1,245,854.25
  4. Step 4: Simplify right side
    580,083x = 1,552,152,812,243.06
  5. Step 5: Solve for x
    x = 1,552,152,812,243.06/580,083
  6. Step 6: Final answer
    x = 2,675,742.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.