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Finding the Third Proportional to 726,838.50 and 1,592,712

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Solution

The third proportional to 726,838.50 and 1,592,712 is: 3,490,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,838.50 : 1,592,712 = 1,592,712 : x
  2. Step 2: Convert to fraction form
    726,838.50/1,592,712 = 1,592,712/x
  3. Step 3: Cross multiply
    726,838.50x = 1,592,712 × 1,592,712
  4. Step 4: Simplify right side
    726,838.50x = 2,536,731,514,944
  5. Step 5: Solve for x
    x = 2,536,731,514,944/726,838.50
  6. Step 6: Final answer
    x = 3,490,089.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.