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Finding the Third Proportional to 748,030 and 1,603,224

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Solution

The third proportional to 748,030 and 1,603,224 is: 3,436,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,030 : 1,603,224 = 1,603,224 : x
  2. Step 2: Convert to fraction form
    748,030/1,603,224 = 1,603,224/x
  3. Step 3: Cross multiply
    748,030x = 1,603,224 × 1,603,224
  4. Step 4: Simplify right side
    748,030x = 2,570,327,194,176
  5. Step 5: Solve for x
    x = 2,570,327,194,176/748,030
  6. Step 6: Final answer
    x = 3,436,128.49

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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.