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Finding the Third Proportional to 846,545 and 1,807,907

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Solution

The third proportional to 846,545 and 1,807,907 is: 3,861,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,545 : 1,807,907 = 1,807,907 : x
  2. Step 2: Convert to fraction form
    846,545/1,807,907 = 1,807,907/x
  3. Step 3: Cross multiply
    846,545x = 1,807,907 × 1,807,907
  4. Step 4: Simplify right side
    846,545x = 3,268,527,720,649
  5. Step 5: Solve for x
    x = 3,268,527,720,649/846,545
  6. Step 6: Final answer
    x = 3,861,020.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.