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Finding the Third Proportional to 1,596,096 and 3,445,416

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Solution

The third proportional to 1,596,096 and 3,445,416 is: 7,437,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,096 : 3,445,416 = 3,445,416 : x
  2. Step 2: Convert to fraction form
    1,596,096/3,445,416 = 3,445,416/x
  3. Step 3: Cross multiply
    1,596,096x = 3,445,416 × 3,445,416
  4. Step 4: Simplify right side
    1,596,096x = 11,870,891,413,056
  5. Step 5: Solve for x
    x = 11,870,891,413,056/1,596,096
  6. Step 6: Final answer
    x = 7,437,454.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.