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Finding the Third Proportional to 905,020 and 1,336,408

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Solution

The third proportional to 905,020 and 1,336,408 is: 1,973,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,020 : 1,336,408 = 1,336,408 : x
  2. Step 2: Convert to fraction form
    905,020/1,336,408 = 1,336,408/x
  3. Step 3: Cross multiply
    905,020x = 1,336,408 × 1,336,408
  4. Step 4: Simplify right side
    905,020x = 1,785,986,342,464
  5. Step 5: Solve for x
    x = 1,785,986,342,464/905,020
  6. Step 6: Final answer
    x = 1,973,421.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.