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Finding the Third Proportional to 870,678 and 1,345,419

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Solution

The third proportional to 870,678 and 1,345,419 is: 2,079,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,678 : 1,345,419 = 1,345,419 : x
  2. Step 2: Convert to fraction form
    870,678/1,345,419 = 1,345,419/x
  3. Step 3: Cross multiply
    870,678x = 1,345,419 × 1,345,419
  4. Step 4: Simplify right side
    870,678x = 1,810,152,285,561
  5. Step 5: Solve for x
    x = 1,810,152,285,561/870,678
  6. Step 6: Final answer
    x = 2,079,014.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.