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Finding the Third Proportional to 754,985.81 and 1,143,474.47

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Solution

The third proportional to 754,985.81 and 1,143,474.47 is: 1,731,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,985.81 : 1,143,474.47 = 1,143,474.47 : x
  2. Step 2: Convert to fraction form
    754,985.81/1,143,474.47 = 1,143,474.47/x
  3. Step 3: Cross multiply
    754,985.81x = 1,143,474.47 × 1,143,474.47
  4. Step 4: Simplify right side
    754,985.81x = 1,307,533,860,683.09
  5. Step 5: Solve for x
    x = 1,307,533,860,683.09/754,985.81
  6. Step 6: Final answer
    x = 1,731,865.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.