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Finding the Third Proportional to 574,914 and 1,209,409.50

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Solution

The third proportional to 574,914 and 1,209,409.50 is: 2,544,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,914 : 1,209,409.50 = 1,209,409.50 : x
  2. Step 2: Convert to fraction form
    574,914/1,209,409.50 = 1,209,409.50/x
  3. Step 3: Cross multiply
    574,914x = 1,209,409.50 × 1,209,409.50
  4. Step 4: Simplify right side
    574,914x = 1,462,671,338,690.25
  5. Step 5: Solve for x
    x = 1,462,671,338,690.25/574,914
  6. Step 6: Final answer
    x = 2,544,156.76

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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.