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Finding the Third Proportional to 776,163 and 1,696,614

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Solution

The third proportional to 776,163 and 1,696,614 is: 3,708,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,163 : 1,696,614 = 1,696,614 : x
  2. Step 2: Convert to fraction form
    776,163/1,696,614 = 1,696,614/x
  3. Step 3: Cross multiply
    776,163x = 1,696,614 × 1,696,614
  4. Step 4: Simplify right side
    776,163x = 2,878,499,064,996
  5. Step 5: Solve for x
    x = 2,878,499,064,996/776,163
  6. Step 6: Final answer
    x = 3,708,627.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.