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Finding the Third Proportional to 1,114,300 and 1,697,570

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Solution

The third proportional to 1,114,300 and 1,697,570 is: 2,586,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,300 : 1,697,570 = 1,697,570 : x
  2. Step 2: Convert to fraction form
    1,114,300/1,697,570 = 1,697,570/x
  3. Step 3: Cross multiply
    1,114,300x = 1,697,570 × 1,697,570
  4. Step 4: Simplify right side
    1,114,300x = 2,881,743,904,900
  5. Step 5: Solve for x
    x = 2,881,743,904,900/1,114,300
  6. Step 6: Final answer
    x = 2,586,147.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.