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Finding the Third Proportional to 1,841,605 and 4,017,729

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Solution

The third proportional to 1,841,605 and 4,017,729 is: 8,765,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,605 : 4,017,729 = 4,017,729 : x
  2. Step 2: Convert to fraction form
    1,841,605/4,017,729 = 4,017,729/x
  3. Step 3: Cross multiply
    1,841,605x = 4,017,729 × 4,017,729
  4. Step 4: Simplify right side
    1,841,605x = 16,142,146,317,441
  5. Step 5: Solve for x
    x = 16,142,146,317,441/1,841,605
  6. Step 6: Final answer
    x = 8,765,259.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.