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Finding the Third Proportional to 2,975,410.13 and 4,419,370.13

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Solution

The third proportional to 2,975,410.13 and 4,419,370.13 is: 6,564,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975,410.13 : 4,419,370.13 = 4,419,370.13 : x
  2. Step 2: Convert to fraction form
    2,975,410.13/4,419,370.13 = 4,419,370.13/x
  3. Step 3: Cross multiply
    2,975,410.13x = 4,419,370.13 × 4,419,370.13
  4. Step 4: Simplify right side
    2,975,410.13x = 19,530,832,301,742.52
  5. Step 5: Solve for x
    x = 19,530,832,301,742.52/2,975,410.13
  6. Step 6: Final answer
    x = 6,564,080.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.