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Finding the Third Proportional to 738,768 and 1,594,176

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Solution

The third proportional to 738,768 and 1,594,176 is: 3,440,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,768 : 1,594,176 = 1,594,176 : x
  2. Step 2: Convert to fraction form
    738,768/1,594,176 = 1,594,176/x
  3. Step 3: Cross multiply
    738,768x = 1,594,176 × 1,594,176
  4. Step 4: Simplify right side
    738,768x = 2,541,397,118,976
  5. Step 5: Solve for x
    x = 2,541,397,118,976/738,768
  6. Step 6: Final answer
    x = 3,440,047.65

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