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Finding the Third Proportional to 774,918 and 1,046,655

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Solution

The third proportional to 774,918 and 1,046,655 is: 1,413,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,918 : 1,046,655 = 1,046,655 : x
  2. Step 2: Convert to fraction form
    774,918/1,046,655 = 1,046,655/x
  3. Step 3: Cross multiply
    774,918x = 1,046,655 × 1,046,655
  4. Step 4: Simplify right side
    774,918x = 1,095,486,689,025
  5. Step 5: Solve for x
    x = 1,095,486,689,025/774,918
  6. Step 6: Final answer
    x = 1,413,680.79

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Why These Related Problems?

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