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Finding the Third Proportional to 1,971,884.25 and 3,119,715

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Solution

The third proportional to 1,971,884.25 and 3,119,715 is: 4,935,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,884.25 : 3,119,715 = 3,119,715 : x
  2. Step 2: Convert to fraction form
    1,971,884.25/3,119,715 = 3,119,715/x
  3. Step 3: Cross multiply
    1,971,884.25x = 3,119,715 × 3,119,715
  4. Step 4: Simplify right side
    1,971,884.25x = 9,732,621,681,225
  5. Step 5: Solve for x
    x = 9,732,621,681,225/1,971,884.25
  6. Step 6: Final answer
    x = 4,935,696.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.