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Finding the Third Proportional to 763,263 and 1,646,689.50

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Solution

The third proportional to 763,263 and 1,646,689.50 is: 3,552,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,263 : 1,646,689.50 = 1,646,689.50 : x
  2. Step 2: Convert to fraction form
    763,263/1,646,689.50 = 1,646,689.50/x
  3. Step 3: Cross multiply
    763,263x = 1,646,689.50 × 1,646,689.50
  4. Step 4: Simplify right side
    763,263x = 2,711,586,309,410.25
  5. Step 5: Solve for x
    x = 2,711,586,309,410.25/763,263
  6. Step 6: Final answer
    x = 3,552,623.81

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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.