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Finding the Third Proportional to 720,904 and 1,053,964

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Solution

The third proportional to 720,904 and 1,053,964 is: 1,540,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,904 : 1,053,964 = 1,053,964 : x
  2. Step 2: Convert to fraction form
    720,904/1,053,964 = 1,053,964/x
  3. Step 3: Cross multiply
    720,904x = 1,053,964 × 1,053,964
  4. Step 4: Simplify right side
    720,904x = 1,110,840,113,296
  5. Step 5: Solve for x
    x = 1,110,840,113,296/720,904
  6. Step 6: Final answer
    x = 1,540,898.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.