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Finding the Third Proportional to 738,014.63 and 1,598,440.50

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Solution

The third proportional to 738,014.63 and 1,598,440.50 is: 3,462,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,014.63 : 1,598,440.50 = 1,598,440.50 : x
  2. Step 2: Convert to fraction form
    738,014.63/1,598,440.50 = 1,598,440.50/x
  3. Step 3: Cross multiply
    738,014.63x = 1,598,440.50 × 1,598,440.50
  4. Step 4: Simplify right side
    738,014.63x = 2,555,012,032,040.25
  5. Step 5: Solve for x
    x = 2,555,012,032,040.25/738,014.63
  6. Step 6: Final answer
    x = 3,462,007.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.