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Finding the Third Proportional to 1,072,753.88 and 1,620,065.81

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Solution

The third proportional to 1,072,753.88 and 1,620,065.81 is: 2,446,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,753.88 : 1,620,065.81 = 1,620,065.81 : x
  2. Step 2: Convert to fraction form
    1,072,753.88/1,620,065.81 = 1,620,065.81/x
  3. Step 3: Cross multiply
    1,072,753.88x = 1,620,065.81 × 1,620,065.81
  4. Step 4: Simplify right side
    1,072,753.88x = 2,624,613,236,831.29
  5. Step 5: Solve for x
    x = 2,624,613,236,831.29/1,072,753.88
  6. Step 6: Final answer
    x = 2,446,612.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.