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Finding the Third Proportional to 696,242 and 1,049,907

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Solution

The third proportional to 696,242 and 1,049,907 is: 1,583,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,242 : 1,049,907 = 1,049,907 : x
  2. Step 2: Convert to fraction form
    696,242/1,049,907 = 1,049,907/x
  3. Step 3: Cross multiply
    696,242x = 1,049,907 × 1,049,907
  4. Step 4: Simplify right side
    696,242x = 1,102,304,708,649
  5. Step 5: Solve for x
    x = 1,102,304,708,649/696,242
  6. Step 6: Final answer
    x = 1,583,220.65

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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.