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Finding the Third Proportional to 1,580,562 and 2,258,586

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Solution

The third proportional to 1,580,562 and 2,258,586 is: 3,227,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,562 : 2,258,586 = 2,258,586 : x
  2. Step 2: Convert to fraction form
    1,580,562/2,258,586 = 2,258,586/x
  3. Step 3: Cross multiply
    1,580,562x = 2,258,586 × 2,258,586
  4. Step 4: Simplify right side
    1,580,562x = 5,101,210,719,396
  5. Step 5: Solve for x
    x = 5,101,210,719,396/1,580,562
  6. Step 6: Final answer
    x = 3,227,466.38

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.