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Finding the Third Proportional to 1,371,159 and 2,971,122.75

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Solution

The third proportional to 1,371,159 and 2,971,122.75 is: 6,438,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,159 : 2,971,122.75 = 2,971,122.75 : x
  2. Step 2: Convert to fraction form
    1,371,159/2,971,122.75 = 2,971,122.75/x
  3. Step 3: Cross multiply
    1,371,159x = 2,971,122.75 × 2,971,122.75
  4. Step 4: Simplify right side
    1,371,159x = 8,827,570,395,567.56
  5. Step 5: Solve for x
    x = 8,827,570,395,567.56/1,371,159
  6. Step 6: Final answer
    x = 6,438,035.56

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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.