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Finding the Third Proportional to 648,156 and 1,014,450

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Solution

The third proportional to 648,156 and 1,014,450 is: 1,587,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,156 : 1,014,450 = 1,014,450 : x
  2. Step 2: Convert to fraction form
    648,156/1,014,450 = 1,014,450/x
  3. Step 3: Cross multiply
    648,156x = 1,014,450 × 1,014,450
  4. Step 4: Simplify right side
    648,156x = 1,029,108,802,500
  5. Step 5: Solve for x
    x = 1,029,108,802,500/648,156
  6. Step 6: Final answer
    x = 1,587,748.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.