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Finding the Third Proportional to 1,507,206 and 2,260,833

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Solution

The third proportional to 1,507,206 and 2,260,833 is: 3,391,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,206 : 2,260,833 = 2,260,833 : x
  2. Step 2: Convert to fraction form
    1,507,206/2,260,833 = 2,260,833/x
  3. Step 3: Cross multiply
    1,507,206x = 2,260,833 × 2,260,833
  4. Step 4: Simplify right side
    1,507,206x = 5,111,365,853,889
  5. Step 5: Solve for x
    x = 5,111,365,853,889/1,507,206
  6. Step 6: Final answer
    x = 3,391,285.50

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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.