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Finding the Third Proportional to 574,923.50 and 1,209,426.50

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Solution

The third proportional to 574,923.50 and 1,209,426.50 is: 2,544,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,923.50 : 1,209,426.50 = 1,209,426.50 : x
  2. Step 2: Convert to fraction form
    574,923.50/1,209,426.50 = 1,209,426.50/x
  3. Step 3: Cross multiply
    574,923.50x = 1,209,426.50 × 1,209,426.50
  4. Step 4: Simplify right side
    574,923.50x = 1,462,712,458,902.25
  5. Step 5: Solve for x
    x = 1,462,712,458,902.25/574,923.50
  6. Step 6: Final answer
    x = 2,544,186.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.