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Finding the Third Proportional to 841,106 and 1,824,185

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Solution

The third proportional to 841,106 and 1,824,185 is: 3,956,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,106 : 1,824,185 = 1,824,185 : x
  2. Step 2: Convert to fraction form
    841,106/1,824,185 = 1,824,185/x
  3. Step 3: Cross multiply
    841,106x = 1,824,185 × 1,824,185
  4. Step 4: Simplify right side
    841,106x = 3,327,650,914,225
  5. Step 5: Solve for x
    x = 3,327,650,914,225/841,106
  6. Step 6: Final answer
    x = 3,956,280.08

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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.