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Finding the Third Proportional to 707,640 and 1,058,868

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Solution

The third proportional to 707,640 and 1,058,868 is: 1,584,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,640 : 1,058,868 = 1,058,868 : x
  2. Step 2: Convert to fraction form
    707,640/1,058,868 = 1,058,868/x
  3. Step 3: Cross multiply
    707,640x = 1,058,868 × 1,058,868
  4. Step 4: Simplify right side
    707,640x = 1,121,201,441,424
  5. Step 5: Solve for x
    x = 1,121,201,441,424/707,640
  6. Step 6: Final answer
    x = 1,584,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.