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Finding the Third Proportional to 691,739 and 1,514,702

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Solution

The third proportional to 691,739 and 1,514,702 is: 3,316,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,739 : 1,514,702 = 1,514,702 : x
  2. Step 2: Convert to fraction form
    691,739/1,514,702 = 1,514,702/x
  3. Step 3: Cross multiply
    691,739x = 1,514,702 × 1,514,702
  4. Step 4: Simplify right side
    691,739x = 2,294,322,148,804
  5. Step 5: Solve for x
    x = 2,294,322,148,804/691,739
  6. Step 6: Final answer
    x = 3,316,745.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.