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Finding the Third Proportional to 732,835.50 and 1,614,751.50

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Solution

The third proportional to 732,835.50 and 1,614,751.50 is: 3,557,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,835.50 : 1,614,751.50 = 1,614,751.50 : x
  2. Step 2: Convert to fraction form
    732,835.50/1,614,751.50 = 1,614,751.50/x
  3. Step 3: Cross multiply
    732,835.50x = 1,614,751.50 × 1,614,751.50
  4. Step 4: Simplify right side
    732,835.50x = 2,607,422,406,752.25
  5. Step 5: Solve for x
    x = 2,607,422,406,752.25/732,835.50
  6. Step 6: Final answer
    x = 3,557,991.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.