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Finding the Third Proportional to 729,146 and 1,141,507

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Solution

The third proportional to 729,146 and 1,141,507 is: 1,787,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,146 : 1,141,507 = 1,141,507 : x
  2. Step 2: Convert to fraction form
    729,146/1,141,507 = 1,141,507/x
  3. Step 3: Cross multiply
    729,146x = 1,141,507 × 1,141,507
  4. Step 4: Simplify right side
    729,146x = 1,303,038,231,049
  5. Step 5: Solve for x
    x = 1,303,038,231,049/729,146
  6. Step 6: Final answer
    x = 1,787,074.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.