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Finding the Third Proportional to 669,658 and 1,405,650

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Solution

The third proportional to 669,658 and 1,405,650 is: 2,950,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,658 : 1,405,650 = 1,405,650 : x
  2. Step 2: Convert to fraction form
    669,658/1,405,650 = 1,405,650/x
  3. Step 3: Cross multiply
    669,658x = 1,405,650 × 1,405,650
  4. Step 4: Simplify right side
    669,658x = 1,975,851,922,500
  5. Step 5: Solve for x
    x = 1,975,851,922,500/669,658
  6. Step 6: Final answer
    x = 2,950,538.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.