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Finding the Third Proportional to 776,808 and 1,049,526

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Solution

The third proportional to 776,808 and 1,049,526 is: 1,417,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,808 : 1,049,526 = 1,049,526 : x
  2. Step 2: Convert to fraction form
    776,808/1,049,526 = 1,049,526/x
  3. Step 3: Cross multiply
    776,808x = 1,049,526 × 1,049,526
  4. Step 4: Simplify right side
    776,808x = 1,101,504,824,676
  5. Step 5: Solve for x
    x = 1,101,504,824,676/776,808
  6. Step 6: Final answer
    x = 1,417,988.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.