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Finding the Third Proportional to 583,670.81 and 1,257,388.31

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Solution

The third proportional to 583,670.81 and 1,257,388.31 is: 2,708,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,670.81 : 1,257,388.31 = 1,257,388.31 : x
  2. Step 2: Convert to fraction form
    583,670.81/1,257,388.31 = 1,257,388.31/x
  3. Step 3: Cross multiply
    583,670.81x = 1,257,388.31 × 1,257,388.31
  4. Step 4: Simplify right side
    583,670.81x = 1,581,025,368,411.60
  5. Step 5: Solve for x
    x = 1,581,025,368,411.60/583,670.81
  6. Step 6: Final answer
    x = 2,708,762.09

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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.