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Finding the Third Proportional to 1,683,315 and 3,586,509

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Solution

The third proportional to 1,683,315 and 3,586,509 is: 7,641,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,315 : 3,586,509 = 3,586,509 : x
  2. Step 2: Convert to fraction form
    1,683,315/3,586,509 = 3,586,509/x
  3. Step 3: Cross multiply
    1,683,315x = 3,586,509 × 3,586,509
  4. Step 4: Simplify right side
    1,683,315x = 12,863,046,807,081
  5. Step 5: Solve for x
    x = 12,863,046,807,081/1,683,315
  6. Step 6: Final answer
    x = 7,641,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.