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Finding the Third Proportional to 1,076,442.75 and 2,307,436.88

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Solution

The third proportional to 1,076,442.75 and 2,307,436.88 is: 4,946,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,442.75 : 2,307,436.88 = 2,307,436.88 : x
  2. Step 2: Convert to fraction form
    1,076,442.75/2,307,436.88 = 2,307,436.88/x
  3. Step 3: Cross multiply
    1,076,442.75x = 2,307,436.88 × 2,307,436.88
  4. Step 4: Simplify right side
    1,076,442.75x = 5,324,264,932,109.77
  5. Step 5: Solve for x
    x = 5,324,264,932,109.77/1,076,442.75
  6. Step 6: Final answer
    x = 4,946,166.37

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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.