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Finding the Third Proportional to 427,168 and 907,008

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Solution

The third proportional to 427,168 and 907,008 is: 1,925,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,168 : 907,008 = 907,008 : x
  2. Step 2: Convert to fraction form
    427,168/907,008 = 907,008/x
  3. Step 3: Cross multiply
    427,168x = 907,008 × 907,008
  4. Step 4: Simplify right side
    427,168x = 822,663,512,064
  5. Step 5: Solve for x
    x = 822,663,512,064/427,168
  6. Step 6: Final answer
    x = 1,925,854.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.