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Finding the Third Proportional to 1,766,032 and 3,814,389

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Solution

The third proportional to 1,766,032 and 3,814,389 is: 8,238,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,032 : 3,814,389 = 3,814,389 : x
  2. Step 2: Convert to fraction form
    1,766,032/3,814,389 = 3,814,389/x
  3. Step 3: Cross multiply
    1,766,032x = 3,814,389 × 3,814,389
  4. Step 4: Simplify right side
    1,766,032x = 14,549,563,443,321
  5. Step 5: Solve for x
    x = 14,549,563,443,321/1,766,032
  6. Step 6: Final answer
    x = 8,238,561.61

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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.