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Finding the Third Proportional to 920,916 and 1,887,475.50

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Solution

The third proportional to 920,916 and 1,887,475.50 is: 3,868,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,916 : 1,887,475.50 = 1,887,475.50 : x
  2. Step 2: Convert to fraction form
    920,916/1,887,475.50 = 1,887,475.50/x
  3. Step 3: Cross multiply
    920,916x = 1,887,475.50 × 1,887,475.50
  4. Step 4: Simplify right side
    920,916x = 3,562,563,763,100.25
  5. Step 5: Solve for x
    x = 3,562,563,763,100.25/920,916
  6. Step 6: Final answer
    x = 3,868,500.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.