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Finding the Third Proportional to 754,947 and 1,143,409

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Solution

The third proportional to 754,947 and 1,143,409 is: 1,731,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,947 : 1,143,409 = 1,143,409 : x
  2. Step 2: Convert to fraction form
    754,947/1,143,409 = 1,143,409/x
  3. Step 3: Cross multiply
    754,947x = 1,143,409 × 1,143,409
  4. Step 4: Simplify right side
    754,947x = 1,307,384,141,281
  5. Step 5: Solve for x
    x = 1,307,384,141,281/754,947
  6. Step 6: Final answer
    x = 1,731,756.19

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