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Finding the Third Proportional to 730,783 and 1,594,367

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Solution

The third proportional to 730,783 and 1,594,367 is: 3,478,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,783 : 1,594,367 = 1,594,367 : x
  2. Step 2: Convert to fraction form
    730,783/1,594,367 = 1,594,367/x
  3. Step 3: Cross multiply
    730,783x = 1,594,367 × 1,594,367
  4. Step 4: Simplify right side
    730,783x = 2,542,006,130,689
  5. Step 5: Solve for x
    x = 2,542,006,130,689/730,783
  6. Step 6: Final answer
    x = 3,478,469.16

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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.