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Finding the Third Proportional to 1,026,901 and 2,289,914

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Solution

The third proportional to 1,026,901 and 2,289,914 is: 5,106,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,901 : 2,289,914 = 2,289,914 : x
  2. Step 2: Convert to fraction form
    1,026,901/2,289,914 = 2,289,914/x
  3. Step 3: Cross multiply
    1,026,901x = 2,289,914 × 2,289,914
  4. Step 4: Simplify right side
    1,026,901x = 5,243,706,127,396
  5. Step 5: Solve for x
    x = 5,243,706,127,396/1,026,901
  6. Step 6: Final answer
    x = 5,106,340.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.