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Finding the Third Proportional to 683,622 and 1,496,095

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Solution

The third proportional to 683,622 and 1,496,095 is: 3,274,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,622 : 1,496,095 = 1,496,095 : x
  2. Step 2: Convert to fraction form
    683,622/1,496,095 = 1,496,095/x
  3. Step 3: Cross multiply
    683,622x = 1,496,095 × 1,496,095
  4. Step 4: Simplify right side
    683,622x = 2,238,300,249,025
  5. Step 5: Solve for x
    x = 2,238,300,249,025/683,622
  6. Step 6: Final answer
    x = 3,274,178.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.