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Finding the Third Proportional to 740,424.80 and 1,137,570.33

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Solution

The third proportional to 740,424.80 and 1,137,570.33 is: 1,747,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,424.80 : 1,137,570.33 = 1,137,570.33 : x
  2. Step 2: Convert to fraction form
    740,424.80/1,137,570.33 = 1,137,570.33/x
  3. Step 3: Cross multiply
    740,424.80x = 1,137,570.33 × 1,137,570.33
  4. Step 4: Simplify right side
    740,424.80x = 1,294,066,251,430.42
  5. Step 5: Solve for x
    x = 1,294,066,251,430.42/740,424.80
  6. Step 6: Final answer
    x = 1,747,734.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.