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Finding the Third Proportional to 750,096 and 1,617,468

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Solution

The third proportional to 750,096 and 1,617,468 is: 3,487,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,096 : 1,617,468 = 1,617,468 : x
  2. Step 2: Convert to fraction form
    750,096/1,617,468 = 1,617,468/x
  3. Step 3: Cross multiply
    750,096x = 1,617,468 × 1,617,468
  4. Step 4: Simplify right side
    750,096x = 2,616,202,731,024
  5. Step 5: Solve for x
    x = 2,616,202,731,024/750,096
  6. Step 6: Final answer
    x = 3,487,823.87

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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.