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Finding the Third Proportional to 579,853.69 and 1,262,638.13

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Solution

The third proportional to 579,853.69 and 1,262,638.13 is: 2,749,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,853.69 : 1,262,638.13 = 1,262,638.13 : x
  2. Step 2: Convert to fraction form
    579,853.69/1,262,638.13 = 1,262,638.13/x
  3. Step 3: Cross multiply
    579,853.69x = 1,262,638.13 × 1,262,638.13
  4. Step 4: Simplify right side
    579,853.69x = 1,594,255,034,703.52
  5. Step 5: Solve for x
    x = 1,594,255,034,703.52/579,853.69
  6. Step 6: Final answer
    x = 2,749,409.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.