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Finding the Third Proportional to 750,141 and 1,769,688

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Solution

The third proportional to 750,141 and 1,769,688 is: 4,174,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,141 : 1,769,688 = 1,769,688 : x
  2. Step 2: Convert to fraction form
    750,141/1,769,688 = 1,769,688/x
  3. Step 3: Cross multiply
    750,141x = 1,769,688 × 1,769,688
  4. Step 4: Simplify right side
    750,141x = 3,131,795,617,344
  5. Step 5: Solve for x
    x = 3,131,795,617,344/750,141
  6. Step 6: Final answer
    x = 4,174,942.60

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.