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Finding the Third Proportional to 1,697,546 and 2,454,951

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Solution

The third proportional to 1,697,546 and 2,454,951 is: 3,550,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,546 : 2,454,951 = 2,454,951 : x
  2. Step 2: Convert to fraction form
    1,697,546/2,454,951 = 2,454,951/x
  3. Step 3: Cross multiply
    1,697,546x = 2,454,951 × 2,454,951
  4. Step 4: Simplify right side
    1,697,546x = 6,026,784,412,401
  5. Step 5: Solve for x
    x = 6,026,784,412,401/1,697,546
  6. Step 6: Final answer
    x = 3,550,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.