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Finding the Third Proportional to 537,192 and 805,788

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Solution

The third proportional to 537,192 and 805,788 is: 1,208,682

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,192 : 805,788 = 805,788 : x
  2. Step 2: Convert to fraction form
    537,192/805,788 = 805,788/x
  3. Step 3: Cross multiply
    537,192x = 805,788 × 805,788
  4. Step 4: Simplify right side
    537,192x = 649,294,300,944
  5. Step 5: Solve for x
    x = 649,294,300,944/537,192
  6. Step 6: Final answer
    x = 1,208,682

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.