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Finding the Third Proportional to 423,882 and 920,664

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Solution

The third proportional to 423,882 and 920,664 is: 1,999,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,882 : 920,664 = 920,664 : x
  2. Step 2: Convert to fraction form
    423,882/920,664 = 920,664/x
  3. Step 3: Cross multiply
    423,882x = 920,664 × 920,664
  4. Step 4: Simplify right side
    423,882x = 847,622,200,896
  5. Step 5: Solve for x
    x = 847,622,200,896/423,882
  6. Step 6: Final answer
    x = 1,999,665.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.