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Finding the Third Proportional to 697,992.19 and 1,051,143.75

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Solution

The third proportional to 697,992.19 and 1,051,143.75 is: 1,582,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,992.19 : 1,051,143.75 = 1,051,143.75 : x
  2. Step 2: Convert to fraction form
    697,992.19/1,051,143.75 = 1,051,143.75/x
  3. Step 3: Cross multiply
    697,992.19x = 1,051,143.75 × 1,051,143.75
  4. Step 4: Simplify right side
    697,992.19x = 1,104,903,183,164.06
  5. Step 5: Solve for x
    x = 1,104,903,183,164.06/697,992.19
  6. Step 6: Final answer
    x = 1,582,973.57

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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.