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Finding the Third Proportional to 1,161,690 and 2,461,832

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Solution

The third proportional to 1,161,690 and 2,461,832 is: 5,217,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,690 : 2,461,832 = 2,461,832 : x
  2. Step 2: Convert to fraction form
    1,161,690/2,461,832 = 2,461,832/x
  3. Step 3: Cross multiply
    1,161,690x = 2,461,832 × 2,461,832
  4. Step 4: Simplify right side
    1,161,690x = 6,060,616,796,224
  5. Step 5: Solve for x
    x = 6,060,616,796,224/1,161,690
  6. Step 6: Final answer
    x = 5,217,068.92

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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.