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Finding the Third Proportional to 689,214 and 1,007,088

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Solution

The third proportional to 689,214 and 1,007,088 is: 1,471,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,214 : 1,007,088 = 1,007,088 : x
  2. Step 2: Convert to fraction form
    689,214/1,007,088 = 1,007,088/x
  3. Step 3: Cross multiply
    689,214x = 1,007,088 × 1,007,088
  4. Step 4: Simplify right side
    689,214x = 1,014,226,239,744
  5. Step 5: Solve for x
    x = 1,014,226,239,744/689,214
  6. Step 6: Final answer
    x = 1,471,569.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.