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Finding the Third Proportional to 590,994 and 1,306,404

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Solution

The third proportional to 590,994 and 1,306,404 is: 2,887,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,994 : 1,306,404 = 1,306,404 : x
  2. Step 2: Convert to fraction form
    590,994/1,306,404 = 1,306,404/x
  3. Step 3: Cross multiply
    590,994x = 1,306,404 × 1,306,404
  4. Step 4: Simplify right side
    590,994x = 1,706,691,411,216
  5. Step 5: Solve for x
    x = 1,706,691,411,216/590,994
  6. Step 6: Final answer
    x = 2,887,832.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.