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Finding the Third Proportional to 841,153.50 and 1,845,157.50

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Solution

The third proportional to 841,153.50 and 1,845,157.50 is: 4,047,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,153.50 : 1,845,157.50 = 1,845,157.50 : x
  2. Step 2: Convert to fraction form
    841,153.50/1,845,157.50 = 1,845,157.50/x
  3. Step 3: Cross multiply
    841,153.50x = 1,845,157.50 × 1,845,157.50
  4. Step 4: Simplify right side
    841,153.50x = 3,404,606,199,806.25
  5. Step 5: Solve for x
    x = 3,404,606,199,806.25/841,153.50
  6. Step 6: Final answer
    x = 4,047,544.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.