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Finding the Third Proportional to 735,315 and 1,012,569

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Solution

The third proportional to 735,315 and 1,012,569 is: 1,394,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,315 : 1,012,569 = 1,012,569 : x
  2. Step 2: Convert to fraction form
    735,315/1,012,569 = 1,012,569/x
  3. Step 3: Cross multiply
    735,315x = 1,012,569 × 1,012,569
  4. Step 4: Simplify right side
    735,315x = 1,025,295,979,761
  5. Step 5: Solve for x
    x = 1,025,295,979,761/735,315
  6. Step 6: Final answer
    x = 1,394,362.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.