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Finding the Third Proportional to 776,960 and 1,049,688

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Solution

The third proportional to 776,960 and 1,049,688 is: 1,418,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,960 : 1,049,688 = 1,049,688 : x
  2. Step 2: Convert to fraction form
    776,960/1,049,688 = 1,049,688/x
  3. Step 3: Cross multiply
    776,960x = 1,049,688 × 1,049,688
  4. Step 4: Simplify right side
    776,960x = 1,101,844,897,344
  5. Step 5: Solve for x
    x = 1,101,844,897,344/776,960
  6. Step 6: Final answer
    x = 1,418,148.81

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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.