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Finding the Third Proportional to 774,392 and 1,660,834

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Solution

The third proportional to 774,392 and 1,660,834 is: 3,561,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,392 : 1,660,834 = 1,660,834 : x
  2. Step 2: Convert to fraction form
    774,392/1,660,834 = 1,660,834/x
  3. Step 3: Cross multiply
    774,392x = 1,660,834 × 1,660,834
  4. Step 4: Simplify right side
    774,392x = 2,758,369,575,556
  5. Step 5: Solve for x
    x = 2,758,369,575,556/774,392
  6. Step 6: Final answer
    x = 3,561,980.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.