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Finding the Third Proportional to 1,390,872.20 and 2,931,189.40

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Solution

The third proportional to 1,390,872.20 and 2,931,189.40 is: 6,177,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,872.20 : 2,931,189.40 = 2,931,189.40 : x
  2. Step 2: Convert to fraction form
    1,390,872.20/2,931,189.40 = 2,931,189.40/x
  3. Step 3: Cross multiply
    1,390,872.20x = 2,931,189.40 × 2,931,189.40
  4. Step 4: Simplify right side
    1,390,872.20x = 8,591,871,289,512.39
  5. Step 5: Solve for x
    x = 8,591,871,289,512.39/1,390,872.20
  6. Step 6: Final answer
    x = 6,177,326.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.