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Finding the Third Proportional to 746,292 and 1,610,520

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Solution

The third proportional to 746,292 and 1,610,520 is: 3,475,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,292 : 1,610,520 = 1,610,520 : x
  2. Step 2: Convert to fraction form
    746,292/1,610,520 = 1,610,520/x
  3. Step 3: Cross multiply
    746,292x = 1,610,520 × 1,610,520
  4. Step 4: Simplify right side
    746,292x = 2,593,774,670,400
  5. Step 5: Solve for x
    x = 2,593,774,670,400/746,292
  6. Step 6: Final answer
    x = 3,475,549.34

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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.