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Finding the Third Proportional to 436,081 and 935,202

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Solution

The third proportional to 436,081 and 935,202 is: 2,005,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,081 : 935,202 = 935,202 : x
  2. Step 2: Convert to fraction form
    436,081/935,202 = 935,202/x
  3. Step 3: Cross multiply
    436,081x = 935,202 × 935,202
  4. Step 4: Simplify right side
    436,081x = 874,602,780,804
  5. Step 5: Solve for x
    x = 874,602,780,804/436,081
  6. Step 6: Final answer
    x = 2,005,597.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.