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Finding the Third Proportional to 867,970 and 1,314,195

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Solution

The third proportional to 867,970 and 1,314,195 is: 1,989,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,970 : 1,314,195 = 1,314,195 : x
  2. Step 2: Convert to fraction form
    867,970/1,314,195 = 1,314,195/x
  3. Step 3: Cross multiply
    867,970x = 1,314,195 × 1,314,195
  4. Step 4: Simplify right side
    867,970x = 1,727,108,498,025
  5. Step 5: Solve for x
    x = 1,727,108,498,025/867,970
  6. Step 6: Final answer
    x = 1,989,825.11

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Why These Related Problems?

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