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Finding the Third Proportional to 650,643.50 and 1,409,898.50

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Solution

The third proportional to 650,643.50 and 1,409,898.50 is: 3,055,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,643.50 : 1,409,898.50 = 1,409,898.50 : x
  2. Step 2: Convert to fraction form
    650,643.50/1,409,898.50 = 1,409,898.50/x
  3. Step 3: Cross multiply
    650,643.50x = 1,409,898.50 × 1,409,898.50
  4. Step 4: Simplify right side
    650,643.50x = 1,987,813,780,302.25
  5. Step 5: Solve for x
    x = 1,987,813,780,302.25/650,643.50
  6. Step 6: Final answer
    x = 3,055,150.45

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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.