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Finding the Third Proportional to 487,475 and 1,052,042

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Solution

The third proportional to 487,475 and 1,052,042 is: 2,270,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,475 : 1,052,042 = 1,052,042 : x
  2. Step 2: Convert to fraction form
    487,475/1,052,042 = 1,052,042/x
  3. Step 3: Cross multiply
    487,475x = 1,052,042 × 1,052,042
  4. Step 4: Simplify right side
    487,475x = 1,106,792,369,764
  5. Step 5: Solve for x
    x = 1,106,792,369,764/487,475
  6. Step 6: Final answer
    x = 2,270,459.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.