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Finding the Third Proportional to 497,409.61 and 1,065,790.41

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Solution

The third proportional to 497,409.61 and 1,065,790.41 is: 2,283,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.61 : 1,065,790.41 = 1,065,790.41 : x
  2. Step 2: Convert to fraction form
    497,409.61/1,065,790.41 = 1,065,790.41/x
  3. Step 3: Cross multiply
    497,409.61x = 1,065,790.41 × 1,065,790.41
  4. Step 4: Simplify right side
    497,409.61x = 1,135,909,190,054.54
  5. Step 5: Solve for x
    x = 1,135,909,190,054.54/497,409.61
  6. Step 6: Final answer
    x = 2,283,649.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.