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Finding the Third Proportional to 650,556 and 1,409,713

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Solution

The third proportional to 650,556 and 1,409,713 is: 3,054,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,556 : 1,409,713 = 1,409,713 : x
  2. Step 2: Convert to fraction form
    650,556/1,409,713 = 1,409,713/x
  3. Step 3: Cross multiply
    650,556x = 1,409,713 × 1,409,713
  4. Step 4: Simplify right side
    650,556x = 1,987,290,742,369
  5. Step 5: Solve for x
    x = 1,987,290,742,369/650,556
  6. Step 6: Final answer
    x = 3,054,757.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.