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Finding the Third Proportional to 824,705 and 1,276,964

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Solution

The third proportional to 824,705 and 1,276,964 is: 1,977,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,705 : 1,276,964 = 1,276,964 : x
  2. Step 2: Convert to fraction form
    824,705/1,276,964 = 1,276,964/x
  3. Step 3: Cross multiply
    824,705x = 1,276,964 × 1,276,964
  4. Step 4: Simplify right side
    824,705x = 1,630,637,057,296
  5. Step 5: Solve for x
    x = 1,630,637,057,296/824,705
  6. Step 6: Final answer
    x = 1,977,236.78

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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.