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Finding the Third Proportional to 1,582,964 and 2,619,949.50

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Solution

The third proportional to 1,582,964 and 2,619,949.50 is: 4,336,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,964 : 2,619,949.50 = 2,619,949.50 : x
  2. Step 2: Convert to fraction form
    1,582,964/2,619,949.50 = 2,619,949.50/x
  3. Step 3: Cross multiply
    1,582,964x = 2,619,949.50 × 2,619,949.50
  4. Step 4: Simplify right side
    1,582,964x = 6,864,135,382,550.25
  5. Step 5: Solve for x
    x = 6,864,135,382,550.25/1,582,964
  6. Step 6: Final answer
    x = 4,336,254.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.