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Finding the Third Proportional to 735,897 and 1,079,613

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Solution

The third proportional to 735,897 and 1,079,613 is: 1,583,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,897 : 1,079,613 = 1,079,613 : x
  2. Step 2: Convert to fraction form
    735,897/1,079,613 = 1,079,613/x
  3. Step 3: Cross multiply
    735,897x = 1,079,613 × 1,079,613
  4. Step 4: Simplify right side
    735,897x = 1,165,564,229,769
  5. Step 5: Solve for x
    x = 1,165,564,229,769/735,897
  6. Step 6: Final answer
    x = 1,583,868.71

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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.