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Finding the Third Proportional to 2,051,209 and 3,184,327.50

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Solution

The third proportional to 2,051,209 and 3,184,327.50 is: 4,943,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,209 : 3,184,327.50 = 3,184,327.50 : x
  2. Step 2: Convert to fraction form
    2,051,209/3,184,327.50 = 3,184,327.50/x
  3. Step 3: Cross multiply
    2,051,209x = 3,184,327.50 × 3,184,327.50
  4. Step 4: Simplify right side
    2,051,209x = 10,139,941,627,256.25
  5. Step 5: Solve for x
    x = 10,139,941,627,256.25/2,051,209
  6. Step 6: Final answer
    x = 4,943,397.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.