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Finding the Third Proportional to 1,527,905 and 3,237,945

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Solution

The third proportional to 1,527,905 and 3,237,945 is: 6,861,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,905 : 3,237,945 = 3,237,945 : x
  2. Step 2: Convert to fraction form
    1,527,905/3,237,945 = 3,237,945/x
  3. Step 3: Cross multiply
    1,527,905x = 3,237,945 × 3,237,945
  4. Step 4: Simplify right side
    1,527,905x = 10,484,287,823,025
  5. Step 5: Solve for x
    x = 10,484,287,823,025/1,527,905
  6. Step 6: Final answer
    x = 6,861,871.53

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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.