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Finding the Third Proportional to 2,051,460 and 4,418,415

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Solution

The third proportional to 2,051,460 and 4,418,415 is: 9,516,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,460 : 4,418,415 = 4,418,415 : x
  2. Step 2: Convert to fraction form
    2,051,460/4,418,415 = 4,418,415/x
  3. Step 3: Cross multiply
    2,051,460x = 4,418,415 × 4,418,415
  4. Step 4: Simplify right side
    2,051,460x = 19,522,391,112,225
  5. Step 5: Solve for x
    x = 19,522,391,112,225/2,051,460
  6. Step 6: Final answer
    x = 9,516,340.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.