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Finding the Third Proportional to 872,607 and 1,885,296

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Solution

The third proportional to 872,607 and 1,885,296 is: 4,073,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,607 : 1,885,296 = 1,885,296 : x
  2. Step 2: Convert to fraction form
    872,607/1,885,296 = 1,885,296/x
  3. Step 3: Cross multiply
    872,607x = 1,885,296 × 1,885,296
  4. Step 4: Simplify right side
    872,607x = 3,554,341,007,616
  5. Step 5: Solve for x
    x = 3,554,341,007,616/872,607
  6. Step 6: Final answer
    x = 4,073,243.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.