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Finding the Third Proportional to 1,766,023 and 3,814,371

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Solution

The third proportional to 1,766,023 and 3,814,371 is: 8,238,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,023 : 3,814,371 = 3,814,371 : x
  2. Step 2: Convert to fraction form
    1,766,023/3,814,371 = 3,814,371/x
  3. Step 3: Cross multiply
    1,766,023x = 3,814,371 × 3,814,371
  4. Step 4: Simplify right side
    1,766,023x = 14,549,426,125,641
  5. Step 5: Solve for x
    x = 14,549,426,125,641/1,766,023
  6. Step 6: Final answer
    x = 8,238,525.84

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Why These Related Problems?

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