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Finding the Third Proportional to 965,722 and 1,528,836

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Solution

The third proportional to 965,722 and 1,528,836 is: 2,420,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,722 : 1,528,836 = 1,528,836 : x
  2. Step 2: Convert to fraction form
    965,722/1,528,836 = 1,528,836/x
  3. Step 3: Cross multiply
    965,722x = 1,528,836 × 1,528,836
  4. Step 4: Simplify right side
    965,722x = 2,337,339,514,896
  5. Step 5: Solve for x
    x = 2,337,339,514,896/965,722
  6. Step 6: Final answer
    x = 2,420,302.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.