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Finding the Third Proportional to 465,690 and 1,018,557

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Solution

The third proportional to 465,690 and 1,018,557 is: 2,227,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,690 : 1,018,557 = 1,018,557 : x
  2. Step 2: Convert to fraction form
    465,690/1,018,557 = 1,018,557/x
  3. Step 3: Cross multiply
    465,690x = 1,018,557 × 1,018,557
  4. Step 4: Simplify right side
    465,690x = 1,037,458,362,249
  5. Step 5: Solve for x
    x = 1,037,458,362,249/465,690
  6. Step 6: Final answer
    x = 2,227,787.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.