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Finding the Third Proportional to 684,590 and 1,526,590

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Solution

The third proportional to 684,590 and 1,526,590 is: 3,404,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,590 : 1,526,590 = 1,526,590 : x
  2. Step 2: Convert to fraction form
    684,590/1,526,590 = 1,526,590/x
  3. Step 3: Cross multiply
    684,590x = 1,526,590 × 1,526,590
  4. Step 4: Simplify right side
    684,590x = 2,330,477,028,100
  5. Step 5: Solve for x
    x = 2,330,477,028,100/684,590
  6. Step 6: Final answer
    x = 3,404,193.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.