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Finding the Third Proportional to 967,649.63 and 1,537,008.75

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Solution

The third proportional to 967,649.63 and 1,537,008.75 is: 2,441,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,649.63 : 1,537,008.75 = 1,537,008.75 : x
  2. Step 2: Convert to fraction form
    967,649.63/1,537,008.75 = 1,537,008.75/x
  3. Step 3: Cross multiply
    967,649.63x = 1,537,008.75 × 1,537,008.75
  4. Step 4: Simplify right side
    967,649.63x = 2,362,395,897,576.56
  5. Step 5: Solve for x
    x = 2,362,395,897,576.56/967,649.63
  6. Step 6: Final answer
    x = 2,441,375.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.