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Finding the Third Proportional to 3,145,032.56 and 4,303,722.38

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Solution

The third proportional to 3,145,032.56 and 4,303,722.38 is: 5,889,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,032.56 : 4,303,722.38 = 4,303,722.38 : x
  2. Step 2: Convert to fraction form
    3,145,032.56/4,303,722.38 = 4,303,722.38/x
  3. Step 3: Cross multiply
    3,145,032.56x = 4,303,722.38 × 4,303,722.38
  4. Step 4: Simplify right side
    3,145,032.56x = 18,522,026,281,075.64
  5. Step 5: Solve for x
    x = 18,522,026,281,075.64/3,145,032.56
  6. Step 6: Final answer
    x = 5,889,295.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.