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Finding the Third Proportional to 664,362 and 1,559,695.50

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Solution

The third proportional to 664,362 and 1,559,695.50 is: 3,661,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,362 : 1,559,695.50 = 1,559,695.50 : x
  2. Step 2: Convert to fraction form
    664,362/1,559,695.50 = 1,559,695.50/x
  3. Step 3: Cross multiply
    664,362x = 1,559,695.50 × 1,559,695.50
  4. Step 4: Simplify right side
    664,362x = 2,432,650,052,720.25
  5. Step 5: Solve for x
    x = 2,432,650,052,720.25/664,362
  6. Step 6: Final answer
    x = 3,661,633.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.