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Finding the Third Proportional to 968,238 and 2,051,640

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Solution

The third proportional to 968,238 and 2,051,640 is: 4,347,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,238 : 2,051,640 = 2,051,640 : x
  2. Step 2: Convert to fraction form
    968,238/2,051,640 = 2,051,640/x
  3. Step 3: Cross multiply
    968,238x = 2,051,640 × 2,051,640
  4. Step 4: Simplify right side
    968,238x = 4,209,226,689,600
  5. Step 5: Solve for x
    x = 4,209,226,689,600/968,238
  6. Step 6: Final answer
    x = 4,347,305.82

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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.