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Finding the Third Proportional to 1,927,741 and 4,187,806

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Solution

The third proportional to 1,927,741 and 4,187,806 is: 9,097,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,741 : 4,187,806 = 4,187,806 : x
  2. Step 2: Convert to fraction form
    1,927,741/4,187,806 = 4,187,806/x
  3. Step 3: Cross multiply
    1,927,741x = 4,187,806 × 4,187,806
  4. Step 4: Simplify right side
    1,927,741x = 17,537,719,093,636
  5. Step 5: Solve for x
    x = 17,537,719,093,636/1,927,741
  6. Step 6: Final answer
    x = 9,097,549.46

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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.