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Finding the Third Proportional to 595,784 and 1,276,852

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Solution

The third proportional to 595,784 and 1,276,852 is: 2,736,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,784 : 1,276,852 = 1,276,852 : x
  2. Step 2: Convert to fraction form
    595,784/1,276,852 = 1,276,852/x
  3. Step 3: Cross multiply
    595,784x = 1,276,852 × 1,276,852
  4. Step 4: Simplify right side
    595,784x = 1,630,351,029,904
  5. Step 5: Solve for x
    x = 1,630,351,029,904/595,784
  6. Step 6: Final answer
    x = 2,736,480.05

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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.