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Finding the Third Proportional to 1,684,731 and 2,409,182

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Solution

The third proportional to 1,684,731 and 2,409,182 is: 3,445,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,731 : 2,409,182 = 2,409,182 : x
  2. Step 2: Convert to fraction form
    1,684,731/2,409,182 = 2,409,182/x
  3. Step 3: Cross multiply
    1,684,731x = 2,409,182 × 2,409,182
  4. Step 4: Simplify right side
    1,684,731x = 5,804,157,909,124
  5. Step 5: Solve for x
    x = 5,804,157,909,124/1,684,731
  6. Step 6: Final answer
    x = 3,445,154.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.