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Finding the Third Proportional to 819,471.94 and 1,240,636.50

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Solution

The third proportional to 819,471.94 and 1,240,636.50 is: 1,878,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,471.94 : 1,240,636.50 = 1,240,636.50 : x
  2. Step 2: Convert to fraction form
    819,471.94/1,240,636.50 = 1,240,636.50/x
  3. Step 3: Cross multiply
    819,471.94x = 1,240,636.50 × 1,240,636.50
  4. Step 4: Simplify right side
    819,471.94x = 1,539,178,925,132.25
  5. Step 5: Solve for x
    x = 1,539,178,925,132.25/819,471.94
  6. Step 6: Final answer
    x = 1,878,257.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.