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Finding the Third Proportional to 1,232,202 and 2,696,301

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Solution

The third proportional to 1,232,202 and 2,696,301 is: 5,900,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,202 : 2,696,301 = 2,696,301 : x
  2. Step 2: Convert to fraction form
    1,232,202/2,696,301 = 2,696,301/x
  3. Step 3: Cross multiply
    1,232,202x = 2,696,301 × 2,696,301
  4. Step 4: Simplify right side
    1,232,202x = 7,270,039,082,601
  5. Step 5: Solve for x
    x = 7,270,039,082,601/1,232,202
  6. Step 6: Final answer
    x = 5,900,038.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.