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Finding the Third Proportional to 684,594 and 1,526,597.25

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Solution

The third proportional to 684,594 and 1,526,597.25 is: 3,404,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,594 : 1,526,597.25 = 1,526,597.25 : x
  2. Step 2: Convert to fraction form
    684,594/1,526,597.25 = 1,526,597.25/x
  3. Step 3: Cross multiply
    684,594x = 1,526,597.25 × 1,526,597.25
  4. Step 4: Simplify right side
    684,594x = 2,330,499,163,707.56
  5. Step 5: Solve for x
    x = 2,330,499,163,707.56/684,594
  6. Step 6: Final answer
    x = 3,404,206.24

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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.