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Finding the Third Proportional to 683,926.88 and 1,026,254.81

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Solution

The third proportional to 683,926.88 and 1,026,254.81 is: 1,539,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,926.88 : 1,026,254.81 = 1,026,254.81 : x
  2. Step 2: Convert to fraction form
    683,926.88/1,026,254.81 = 1,026,254.81/x
  3. Step 3: Cross multiply
    683,926.88x = 1,026,254.81 × 1,026,254.81
  4. Step 4: Simplify right side
    683,926.88x = 1,053,198,940,179.41
  5. Step 5: Solve for x
    x = 1,053,198,940,179.41/683,926.88
  6. Step 6: Final answer
    x = 1,539,929.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.