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Finding the Third Proportional to 648,240 and 1,025,632

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Solution

The third proportional to 648,240 and 1,025,632 is: 1,622,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,240 : 1,025,632 = 1,025,632 : x
  2. Step 2: Convert to fraction form
    648,240/1,025,632 = 1,025,632/x
  3. Step 3: Cross multiply
    648,240x = 1,025,632 × 1,025,632
  4. Step 4: Simplify right side
    648,240x = 1,051,920,999,424
  5. Step 5: Solve for x
    x = 1,051,920,999,424/648,240
  6. Step 6: Final answer
    x = 1,622,733.86

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.