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Finding the Third Proportional to 1,961,748 and 4,233,078

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Solution

The third proportional to 1,961,748 and 4,233,078 is: 9,134,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,748 : 4,233,078 = 4,233,078 : x
  2. Step 2: Convert to fraction form
    1,961,748/4,233,078 = 4,233,078/x
  3. Step 3: Cross multiply
    1,961,748x = 4,233,078 × 4,233,078
  4. Step 4: Simplify right side
    1,961,748x = 17,918,949,354,084
  5. Step 5: Solve for x
    x = 17,918,949,354,084/1,961,748
  6. Step 6: Final answer
    x = 9,134,174.91

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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.