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Finding the Third Proportional to 824,701 and 1,276,957

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Solution

The third proportional to 824,701 and 1,276,957 is: 1,977,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,701 : 1,276,957 = 1,276,957 : x
  2. Step 2: Convert to fraction form
    824,701/1,276,957 = 1,276,957/x
  3. Step 3: Cross multiply
    824,701x = 1,276,957 × 1,276,957
  4. Step 4: Simplify right side
    824,701x = 1,630,619,179,849
  5. Step 5: Solve for x
    x = 1,630,619,179,849/824,701
  6. Step 6: Final answer
    x = 1,977,224.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.