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Finding the Third Proportional to 746,168 and 1,610,272

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Solution

The third proportional to 746,168 and 1,610,272 is: 3,475,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,168 : 1,610,272 = 1,610,272 : x
  2. Step 2: Convert to fraction form
    746,168/1,610,272 = 1,610,272/x
  3. Step 3: Cross multiply
    746,168x = 1,610,272 × 1,610,272
  4. Step 4: Simplify right side
    746,168x = 2,592,975,913,984
  5. Step 5: Solve for x
    x = 2,592,975,913,984/746,168
  6. Step 6: Final answer
    x = 3,475,056.44

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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.