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Finding the Third Proportional to 1,956,417.05 and 2,703,399.05

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Solution

The third proportional to 1,956,417.05 and 2,703,399.05 is: 3,735,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956,417.05 : 2,703,399.05 = 2,703,399.05 : x
  2. Step 2: Convert to fraction form
    1,956,417.05/2,703,399.05 = 2,703,399.05/x
  3. Step 3: Cross multiply
    1,956,417.05x = 2,703,399.05 × 2,703,399.05
  4. Step 4: Simplify right side
    1,956,417.05x = 7,308,366,406,644.66
  5. Step 5: Solve for x
    x = 7,308,366,406,644.66/1,956,417.05
  6. Step 6: Final answer
    x = 3,735,587.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.