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Finding the Third Proportional to 699,540 and 1,026,345

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Solution

The third proportional to 699,540 and 1,026,345 is: 1,505,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,540 : 1,026,345 = 1,026,345 : x
  2. Step 2: Convert to fraction form
    699,540/1,026,345 = 1,026,345/x
  3. Step 3: Cross multiply
    699,540x = 1,026,345 × 1,026,345
  4. Step 4: Simplify right side
    699,540x = 1,053,384,059,025
  5. Step 5: Solve for x
    x = 1,053,384,059,025/699,540
  6. Step 6: Final answer
    x = 1,505,823.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.