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Finding the Third Proportional to 819,345 and 1,240,404

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Solution

The third proportional to 819,345 and 1,240,404 is: 1,877,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,345 : 1,240,404 = 1,240,404 : x
  2. Step 2: Convert to fraction form
    819,345/1,240,404 = 1,240,404/x
  3. Step 3: Cross multiply
    819,345x = 1,240,404 × 1,240,404
  4. Step 4: Simplify right side
    819,345x = 1,538,602,083,216
  5. Step 5: Solve for x
    x = 1,538,602,083,216/819,345
  6. Step 6: Final answer
    x = 1,877,843.99

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