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Finding the Third Proportional to 1,003,298 and 2,142,664

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Solution

The third proportional to 1,003,298 and 2,142,664 is: 4,575,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,298 : 2,142,664 = 2,142,664 : x
  2. Step 2: Convert to fraction form
    1,003,298/2,142,664 = 2,142,664/x
  3. Step 3: Cross multiply
    1,003,298x = 2,142,664 × 2,142,664
  4. Step 4: Simplify right side
    1,003,298x = 4,591,009,016,896
  5. Step 5: Solve for x
    x = 4,591,009,016,896/1,003,298
  6. Step 6: Final answer
    x = 4,575,917.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.