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Finding the Third Proportional to 1,004,802 and 1,507,219

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Solution

The third proportional to 1,004,802 and 1,507,219 is: 2,260,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,802 : 1,507,219 = 1,507,219 : x
  2. Step 2: Convert to fraction form
    1,004,802/1,507,219 = 1,507,219/x
  3. Step 3: Cross multiply
    1,004,802x = 1,507,219 × 1,507,219
  4. Step 4: Simplify right side
    1,004,802x = 2,271,709,113,961
  5. Step 5: Solve for x
    x = 2,271,709,113,961/1,004,802
  6. Step 6: Final answer
    x = 2,260,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.