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Finding the Third Proportional to 460,919 and 697,818

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Solution

The third proportional to 460,919 and 697,818 is: 1,056,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,919 : 697,818 = 697,818 : x
  2. Step 2: Convert to fraction form
    460,919/697,818 = 697,818/x
  3. Step 3: Cross multiply
    460,919x = 697,818 × 697,818
  4. Step 4: Simplify right side
    460,919x = 486,949,961,124
  5. Step 5: Solve for x
    x = 486,949,961,124/460,919
  6. Step 6: Final answer
    x = 1,056,476.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.