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Finding the Third Proportional to 1,768,014 and 3,817,746

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Solution

The third proportional to 1,768,014 and 3,817,746 is: 8,243,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,014 : 3,817,746 = 3,817,746 : x
  2. Step 2: Convert to fraction form
    1,768,014/3,817,746 = 3,817,746/x
  3. Step 3: Cross multiply
    1,768,014x = 3,817,746 × 3,817,746
  4. Step 4: Simplify right side
    1,768,014x = 14,575,184,520,516
  5. Step 5: Solve for x
    x = 14,575,184,520,516/1,768,014
  6. Step 6: Final answer
    x = 8,243,817.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.