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Finding the Third Proportional to 742,176 and 1,596,096

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Solution

The third proportional to 742,176 and 1,596,096 is: 3,432,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,176 : 1,596,096 = 1,596,096 : x
  2. Step 2: Convert to fraction form
    742,176/1,596,096 = 1,596,096/x
  3. Step 3: Cross multiply
    742,176x = 1,596,096 × 1,596,096
  4. Step 4: Simplify right side
    742,176x = 2,547,522,441,216
  5. Step 5: Solve for x
    x = 2,547,522,441,216/742,176
  6. Step 6: Final answer
    x = 3,432,504.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.