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Finding the Third Proportional to 730,782 and 1,594,361

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Solution

The third proportional to 730,782 and 1,594,361 is: 3,478,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,782 : 1,594,361 = 1,594,361 : x
  2. Step 2: Convert to fraction form
    730,782/1,594,361 = 1,594,361/x
  3. Step 3: Cross multiply
    730,782x = 1,594,361 × 1,594,361
  4. Step 4: Simplify right side
    730,782x = 2,541,986,998,321
  5. Step 5: Solve for x
    x = 2,541,986,998,321/730,782
  6. Step 6: Final answer
    x = 3,478,447.74

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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.