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Finding the Third Proportional to 650,550 and 1,409,700

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Solution

The third proportional to 650,550 and 1,409,700 is: 3,054,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,550 : 1,409,700 = 1,409,700 : x
  2. Step 2: Convert to fraction form
    650,550/1,409,700 = 1,409,700/x
  3. Step 3: Cross multiply
    650,550x = 1,409,700 × 1,409,700
  4. Step 4: Simplify right side
    650,550x = 1,987,254,090,000
  5. Step 5: Solve for x
    x = 1,987,254,090,000/650,550
  6. Step 6: Final answer
    x = 3,054,729.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.