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Finding the Third Proportional to 1,766,026 and 3,814,377

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Solution

The third proportional to 1,766,026 and 3,814,377 is: 8,238,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,026 : 3,814,377 = 3,814,377 : x
  2. Step 2: Convert to fraction form
    1,766,026/3,814,377 = 3,814,377/x
  3. Step 3: Cross multiply
    1,766,026x = 3,814,377 × 3,814,377
  4. Step 4: Simplify right side
    1,766,026x = 14,549,471,898,129
  5. Step 5: Solve for x
    x = 14,549,471,898,129/1,766,026
  6. Step 6: Final answer
    x = 8,238,537.77

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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.