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Finding the Third Proportional to 740,854.50 and 1,615,971

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Solution

The third proportional to 740,854.50 and 1,615,971 is: 3,524,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,854.50 : 1,615,971 = 1,615,971 : x
  2. Step 2: Convert to fraction form
    740,854.50/1,615,971 = 1,615,971/x
  3. Step 3: Cross multiply
    740,854.50x = 1,615,971 × 1,615,971
  4. Step 4: Simplify right side
    740,854.50x = 2,611,362,272,841
  5. Step 5: Solve for x
    x = 2,611,362,272,841/740,854.50
  6. Step 6: Final answer
    x = 3,524,797.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.