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Finding the Third Proportional to 1,537,209 and 2,189,783.25

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Solution

The third proportional to 1,537,209 and 2,189,783.25 is: 3,119,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,209 : 2,189,783.25 = 2,189,783.25 : x
  2. Step 2: Convert to fraction form
    1,537,209/2,189,783.25 = 2,189,783.25/x
  3. Step 3: Cross multiply
    1,537,209x = 2,189,783.25 × 2,189,783.25
  4. Step 4: Simplify right side
    1,537,209x = 4,795,150,681,980.56
  5. Step 5: Solve for x
    x = 4,795,150,681,980.56/1,537,209
  6. Step 6: Final answer
    x = 3,119,387.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.