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Finding the Third Proportional to 1,743,070 and 3,775,584

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Solution

The third proportional to 1,743,070 and 3,775,584 is: 8,178,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,070 : 3,775,584 = 3,775,584 : x
  2. Step 2: Convert to fraction form
    1,743,070/3,775,584 = 3,775,584/x
  3. Step 3: Cross multiply
    1,743,070x = 3,775,584 × 3,775,584
  4. Step 4: Simplify right side
    1,743,070x = 14,255,034,541,056
  5. Step 5: Solve for x
    x = 14,255,034,541,056/1,743,070
  6. Step 6: Final answer
    x = 8,178,119.38

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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.