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Finding the Third Proportional to 727,976 and 1,549,312

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Solution

The third proportional to 727,976 and 1,549,312 is: 3,297,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,976 : 1,549,312 = 1,549,312 : x
  2. Step 2: Convert to fraction form
    727,976/1,549,312 = 1,549,312/x
  3. Step 3: Cross multiply
    727,976x = 1,549,312 × 1,549,312
  4. Step 4: Simplify right side
    727,976x = 2,400,367,673,344
  5. Step 5: Solve for x
    x = 2,400,367,673,344/727,976
  6. Step 6: Final answer
    x = 3,297,317.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.