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Finding the Third Proportional to 798,050 and 1,722,712

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Solution

The third proportional to 798,050 and 1,722,712 is: 3,718,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,050 : 1,722,712 = 1,722,712 : x
  2. Step 2: Convert to fraction form
    798,050/1,722,712 = 1,722,712/x
  3. Step 3: Cross multiply
    798,050x = 1,722,712 × 1,722,712
  4. Step 4: Simplify right side
    798,050x = 2,967,736,634,944
  5. Step 5: Solve for x
    x = 2,967,736,634,944/798,050
  6. Step 6: Final answer
    x = 3,718,735.21

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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.