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Finding the Third Proportional to 423,944 and 896,964

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Solution

The third proportional to 423,944 and 896,964 is: 1,897,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,944 : 896,964 = 896,964 : x
  2. Step 2: Convert to fraction form
    423,944/896,964 = 896,964/x
  3. Step 3: Cross multiply
    423,944x = 896,964 × 896,964
  4. Step 4: Simplify right side
    423,944x = 804,544,417,296
  5. Step 5: Solve for x
    x = 804,544,417,296/423,944
  6. Step 6: Final answer
    x = 1,897,761.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.