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Finding the Third Proportional to 738,360 and 1,602,765

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Solution

The third proportional to 738,360 and 1,602,765 is: 3,479,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,360 : 1,602,765 = 1,602,765 : x
  2. Step 2: Convert to fraction form
    738,360/1,602,765 = 1,602,765/x
  3. Step 3: Cross multiply
    738,360x = 1,602,765 × 1,602,765
  4. Step 4: Simplify right side
    738,360x = 2,568,855,645,225
  5. Step 5: Solve for x
    x = 2,568,855,645,225/738,360
  6. Step 6: Final answer
    x = 3,479,137.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.