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Finding the Third Proportional to 1,389,622.50 and 2,971,873.13

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Solution

The third proportional to 1,389,622.50 and 2,971,873.13 is: 6,355,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389,622.50 : 2,971,873.13 = 2,971,873.13 : x
  2. Step 2: Convert to fraction form
    1,389,622.50/2,971,873.13 = 2,971,873.13/x
  3. Step 3: Cross multiply
    1,389,622.50x = 2,971,873.13 × 2,971,873.13
  4. Step 4: Simplify right side
    1,389,622.50x = 8,832,029,871,097.27
  5. Step 5: Solve for x
    x = 8,832,029,871,097.27/1,389,622.50
  6. Step 6: Final answer
    x = 6,355,704.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.