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Finding the Third Proportional to 1,001,810 and 1,466,751

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Solution

The third proportional to 1,001,810 and 1,466,751 is: 2,147,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,810 : 1,466,751 = 1,466,751 : x
  2. Step 2: Convert to fraction form
    1,001,810/1,466,751 = 1,466,751/x
  3. Step 3: Cross multiply
    1,001,810x = 1,466,751 × 1,466,751
  4. Step 4: Simplify right side
    1,001,810x = 2,151,358,496,001
  5. Step 5: Solve for x
    x = 2,151,358,496,001/1,001,810
  6. Step 6: Final answer
    x = 2,147,471.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.