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Finding the Third Proportional to 735,976 and 1,079,724

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Solution

The third proportional to 735,976 and 1,079,724 is: 1,584,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,976 : 1,079,724 = 1,079,724 : x
  2. Step 2: Convert to fraction form
    735,976/1,079,724 = 1,079,724/x
  3. Step 3: Cross multiply
    735,976x = 1,079,724 × 1,079,724
  4. Step 4: Simplify right side
    735,976x = 1,165,803,916,176
  5. Step 5: Solve for x
    x = 1,165,803,916,176/735,976
  6. Step 6: Final answer
    x = 1,584,024.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.