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Finding the Third Proportional to 611,754.75 and 1,334,101.50

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Solution

The third proportional to 611,754.75 and 1,334,101.50 is: 2,909,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,754.75 : 1,334,101.50 = 1,334,101.50 : x
  2. Step 2: Convert to fraction form
    611,754.75/1,334,101.50 = 1,334,101.50/x
  3. Step 3: Cross multiply
    611,754.75x = 1,334,101.50 × 1,334,101.50
  4. Step 4: Simplify right side
    611,754.75x = 1,779,826,812,302.25
  5. Step 5: Solve for x
    x = 1,779,826,812,302.25/611,754.75
  6. Step 6: Final answer
    x = 2,909,379.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.