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Finding the Third Proportional to 1,507,202 and 2,260,827

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Solution

The third proportional to 1,507,202 and 2,260,827 is: 3,391,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,202 : 2,260,827 = 2,260,827 : x
  2. Step 2: Convert to fraction form
    1,507,202/2,260,827 = 2,260,827/x
  3. Step 3: Cross multiply
    1,507,202x = 2,260,827 × 2,260,827
  4. Step 4: Simplify right side
    1,507,202x = 5,111,338,723,929
  5. Step 5: Solve for x
    x = 5,111,338,723,929/1,507,202
  6. Step 6: Final answer
    x = 3,391,276.50

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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.