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Finding the Third Proportional to 838,233 and 1,715,202

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Solution

The third proportional to 838,233 and 1,715,202 is: 3,509,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,233 : 1,715,202 = 1,715,202 : x
  2. Step 2: Convert to fraction form
    838,233/1,715,202 = 1,715,202/x
  3. Step 3: Cross multiply
    838,233x = 1,715,202 × 1,715,202
  4. Step 4: Simplify right side
    838,233x = 2,941,917,900,804
  5. Step 5: Solve for x
    x = 2,941,917,900,804/838,233
  6. Step 6: Final answer
    x = 3,509,666.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.