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Finding the Third Proportional to 507,804 and 1,081,404

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Solution

The third proportional to 507,804 and 1,081,404 is: 2,302,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,804 : 1,081,404 = 1,081,404 : x
  2. Step 2: Convert to fraction form
    507,804/1,081,404 = 1,081,404/x
  3. Step 3: Cross multiply
    507,804x = 1,081,404 × 1,081,404
  4. Step 4: Simplify right side
    507,804x = 1,169,434,611,216
  5. Step 5: Solve for x
    x = 1,169,434,611,216/507,804
  6. Step 6: Final answer
    x = 2,302,925.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.