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Finding the Third Proportional to 767,385 and 1,614,312

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Solution

The third proportional to 767,385 and 1,614,312 is: 3,395,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,385 : 1,614,312 = 1,614,312 : x
  2. Step 2: Convert to fraction form
    767,385/1,614,312 = 1,614,312/x
  3. Step 3: Cross multiply
    767,385x = 1,614,312 × 1,614,312
  4. Step 4: Simplify right side
    767,385x = 2,606,003,233,344
  5. Step 5: Solve for x
    x = 2,606,003,233,344/767,385
  6. Step 6: Final answer
    x = 3,395,952.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.