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Finding the Third Proportional to 1,293,583.50 and 2,721,218.63

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Solution

The third proportional to 1,293,583.50 and 2,721,218.63 is: 5,724,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,583.50 : 2,721,218.63 = 2,721,218.63 : x
  2. Step 2: Convert to fraction form
    1,293,583.50/2,721,218.63 = 2,721,218.63/x
  3. Step 3: Cross multiply
    1,293,583.50x = 2,721,218.63 × 2,721,218.63
  4. Step 4: Simplify right side
    1,293,583.50x = 7,405,030,805,046.89
  5. Step 5: Solve for x
    x = 7,405,030,805,046.89/1,293,583.50
  6. Step 6: Final answer
    x = 5,724,432.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.