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Finding the Third Proportional to 595,776 and 1,276,836

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Solution

The third proportional to 595,776 and 1,276,836 is: 2,736,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,776 : 1,276,836 = 1,276,836 : x
  2. Step 2: Convert to fraction form
    595,776/1,276,836 = 1,276,836/x
  3. Step 3: Cross multiply
    595,776x = 1,276,836 × 1,276,836
  4. Step 4: Simplify right side
    595,776x = 1,630,310,170,896
  5. Step 5: Solve for x
    x = 1,630,310,170,896/595,776
  6. Step 6: Final answer
    x = 2,736,448.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.