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Finding the Third Proportional to 501,660 and 1,071,360

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Solution

The third proportional to 501,660 and 1,071,360 is: 2,288,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,660 : 1,071,360 = 1,071,360 : x
  2. Step 2: Convert to fraction form
    501,660/1,071,360 = 1,071,360/x
  3. Step 3: Cross multiply
    501,660x = 1,071,360 × 1,071,360
  4. Step 4: Simplify right side
    501,660x = 1,147,812,249,600
  5. Step 5: Solve for x
    x = 1,147,812,249,600/501,660
  6. Step 6: Final answer
    x = 2,288,028.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.