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Finding the Third Proportional to 846,536 and 1,807,880

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Solution

The third proportional to 846,536 and 1,807,880 is: 3,860,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,536 : 1,807,880 = 1,807,880 : x
  2. Step 2: Convert to fraction form
    846,536/1,807,880 = 1,807,880/x
  3. Step 3: Cross multiply
    846,536x = 1,807,880 × 1,807,880
  4. Step 4: Simplify right side
    846,536x = 3,268,430,094,400
  5. Step 5: Solve for x
    x = 3,268,430,094,400/846,536
  6. Step 6: Final answer
    x = 3,860,946.37

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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.