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Finding the Third Proportional to 657,924.75 and 1,413,752.63

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Solution

The third proportional to 657,924.75 and 1,413,752.63 is: 3,037,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,924.75 : 1,413,752.63 = 1,413,752.63 : x
  2. Step 2: Convert to fraction form
    657,924.75/1,413,752.63 = 1,413,752.63/x
  3. Step 3: Cross multiply
    657,924.75x = 1,413,752.63 × 1,413,752.63
  4. Step 4: Simplify right side
    657,924.75x = 1,998,696,484,694.39
  5. Step 5: Solve for x
    x = 1,998,696,484,694.39/657,924.75
  6. Step 6: Final answer
    x = 3,037,880.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.