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Finding the Third Proportional to 697,518 and 1,051,407

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Solution

The third proportional to 697,518 and 1,051,407 is: 1,584,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,518 : 1,051,407 = 1,051,407 : x
  2. Step 2: Convert to fraction form
    697,518/1,051,407 = 1,051,407/x
  3. Step 3: Cross multiply
    697,518x = 1,051,407 × 1,051,407
  4. Step 4: Simplify right side
    697,518x = 1,105,456,679,649
  5. Step 5: Solve for x
    x = 1,105,456,679,649/697,518
  6. Step 6: Final answer
    x = 1,584,843.23

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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.