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Finding the Third Proportional to 872,832 and 1,184,640

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Solution

The third proportional to 872,832 and 1,184,640 is: 1,607,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,832 : 1,184,640 = 1,184,640 : x
  2. Step 2: Convert to fraction form
    872,832/1,184,640 = 1,184,640/x
  3. Step 3: Cross multiply
    872,832x = 1,184,640 × 1,184,640
  4. Step 4: Simplify right side
    872,832x = 1,403,371,929,600
  5. Step 5: Solve for x
    x = 1,403,371,929,600/872,832
  6. Step 6: Final answer
    x = 1,607,837.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.