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Finding the Third Proportional to 970,884 and 1,456,324

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Solution

The third proportional to 970,884 and 1,456,324 is: 2,184,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,884 : 1,456,324 = 1,456,324 : x
  2. Step 2: Convert to fraction form
    970,884/1,456,324 = 1,456,324/x
  3. Step 3: Cross multiply
    970,884x = 1,456,324 × 1,456,324
  4. Step 4: Simplify right side
    970,884x = 2,120,879,592,976
  5. Step 5: Solve for x
    x = 2,120,879,592,976/970,884
  6. Step 6: Final answer
    x = 2,184,483.00

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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.