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Finding the Third Proportional to 867,864 and 1,343,664

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Solution

The third proportional to 867,864 and 1,343,664 is: 2,080,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,864 : 1,343,664 = 1,343,664 : x
  2. Step 2: Convert to fraction form
    867,864/1,343,664 = 1,343,664/x
  3. Step 3: Cross multiply
    867,864x = 1,343,664 × 1,343,664
  4. Step 4: Simplify right side
    867,864x = 1,805,432,944,896
  5. Step 5: Solve for x
    x = 1,805,432,944,896/867,864
  6. Step 6: Final answer
    x = 2,080,317.82

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Why These Related Problems?

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