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Finding the Third Proportional to 760,772 and 1,606,414

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Solution

The third proportional to 760,772 and 1,606,414 is: 3,392,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,772 : 1,606,414 = 1,606,414 : x
  2. Step 2: Convert to fraction form
    760,772/1,606,414 = 1,606,414/x
  3. Step 3: Cross multiply
    760,772x = 1,606,414 × 1,606,414
  4. Step 4: Simplify right side
    760,772x = 2,580,565,939,396
  5. Step 5: Solve for x
    x = 2,580,565,939,396/760,772
  6. Step 6: Final answer
    x = 3,392,035.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.