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Finding the Third Proportional to 749,044 and 1,638,222.50

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Solution

The third proportional to 749,044 and 1,638,222.50 is: 3,582,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,044 : 1,638,222.50 = 1,638,222.50 : x
  2. Step 2: Convert to fraction form
    749,044/1,638,222.50 = 1,638,222.50/x
  3. Step 3: Cross multiply
    749,044x = 1,638,222.50 × 1,638,222.50
  4. Step 4: Simplify right side
    749,044x = 2,683,772,959,506.25
  5. Step 5: Solve for x
    x = 2,683,772,959,506.25/749,044
  6. Step 6: Final answer
    x = 3,582,930.99

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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.