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Finding the Third Proportional to 1,157,612 and 1,296,008

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Solution

The third proportional to 1,157,612 and 1,296,008 is: 1,450,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,612 : 1,296,008 = 1,296,008 : x
  2. Step 2: Convert to fraction form
    1,157,612/1,296,008 = 1,296,008/x
  3. Step 3: Cross multiply
    1,157,612x = 1,296,008 × 1,296,008
  4. Step 4: Simplify right side
    1,157,612x = 1,679,636,736,064
  5. Step 5: Solve for x
    x = 1,679,636,736,064/1,157,612
  6. Step 6: Final answer
    x = 1,450,949.66

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.