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Finding the Third Proportional to 496,710 and 1,079,838

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Solution

The third proportional to 496,710 and 1,079,838 is: 2,347,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,710 : 1,079,838 = 1,079,838 : x
  2. Step 2: Convert to fraction form
    496,710/1,079,838 = 1,079,838/x
  3. Step 3: Cross multiply
    496,710x = 1,079,838 × 1,079,838
  4. Step 4: Simplify right side
    496,710x = 1,166,050,106,244
  5. Step 5: Solve for x
    x = 1,166,050,106,244/496,710
  6. Step 6: Final answer
    x = 2,347,547.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.