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Finding the Third Proportional to 973,670 and 1,422,831

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Solution

The third proportional to 973,670 and 1,422,831 is: 2,079,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,670 : 1,422,831 = 1,422,831 : x
  2. Step 2: Convert to fraction form
    973,670/1,422,831 = 1,422,831/x
  3. Step 3: Cross multiply
    973,670x = 1,422,831 × 1,422,831
  4. Step 4: Simplify right side
    973,670x = 2,024,448,054,561
  5. Step 5: Solve for x
    x = 2,024,448,054,561/973,670
  6. Step 6: Final answer
    x = 2,079,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.