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Finding the Third Proportional to 1,743,071 and 3,775,586

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Solution

The third proportional to 1,743,071 and 3,775,586 is: 8,178,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,071 : 3,775,586 = 3,775,586 : x
  2. Step 2: Convert to fraction form
    1,743,071/3,775,586 = 3,775,586/x
  3. Step 3: Cross multiply
    1,743,071x = 3,775,586 × 3,775,586
  4. Step 4: Simplify right side
    1,743,071x = 14,255,049,643,396
  5. Step 5: Solve for x
    x = 14,255,049,643,396/1,743,071
  6. Step 6: Final answer
    x = 8,178,123.35

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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.