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Finding the Third Proportional to 648,458 and 970,095

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Solution

The third proportional to 648,458 and 970,095 is: 1,451,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,458 : 970,095 = 970,095 : x
  2. Step 2: Convert to fraction form
    648,458/970,095 = 970,095/x
  3. Step 3: Cross multiply
    648,458x = 970,095 × 970,095
  4. Step 4: Simplify right side
    648,458x = 941,084,309,025
  5. Step 5: Solve for x
    x = 941,084,309,025/648,458
  6. Step 6: Final answer
    x = 1,451,264.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.