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Finding the Third Proportional to 917,576 and 2,159,128

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Solution

The third proportional to 917,576 and 2,159,128 is: 5,080,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,576 : 2,159,128 = 2,159,128 : x
  2. Step 2: Convert to fraction form
    917,576/2,159,128 = 2,159,128/x
  3. Step 3: Cross multiply
    917,576x = 2,159,128 × 2,159,128
  4. Step 4: Simplify right side
    917,576x = 4,661,833,720,384
  5. Step 5: Solve for x
    x = 4,661,833,720,384/917,576
  6. Step 6: Final answer
    x = 5,080,596.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.