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Finding the Third Proportional to 1,157,087 and 2,513,191

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Solution

The third proportional to 1,157,087 and 2,513,191 is: 5,458,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,087 : 2,513,191 = 2,513,191 : x
  2. Step 2: Convert to fraction form
    1,157,087/2,513,191 = 2,513,191/x
  3. Step 3: Cross multiply
    1,157,087x = 2,513,191 × 2,513,191
  4. Step 4: Simplify right side
    1,157,087x = 6,316,129,002,481
  5. Step 5: Solve for x
    x = 6,316,129,002,481/1,157,087
  6. Step 6: Final answer
    x = 5,458,646.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.