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Finding the Third Proportional to 970,879 and 1,456,319

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Solution

The third proportional to 970,879 and 1,456,319 is: 2,184,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,879 : 1,456,319 = 1,456,319 : x
  2. Step 2: Convert to fraction form
    970,879/1,456,319 = 1,456,319/x
  3. Step 3: Cross multiply
    970,879x = 1,456,319 × 1,456,319
  4. Step 4: Simplify right side
    970,879x = 2,120,865,029,761
  5. Step 5: Solve for x
    x = 2,120,865,029,761/970,879
  6. Step 6: Final answer
    x = 2,184,479.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.