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Finding the Third Proportional to 1,905,084 and 2,902,290

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Solution

The third proportional to 1,905,084 and 2,902,290 is: 4,421,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,084 : 2,902,290 = 2,902,290 : x
  2. Step 2: Convert to fraction form
    1,905,084/2,902,290 = 2,902,290/x
  3. Step 3: Cross multiply
    1,905,084x = 2,902,290 × 2,902,290
  4. Step 4: Simplify right side
    1,905,084x = 8,423,287,244,100
  5. Step 5: Solve for x
    x = 8,423,287,244,100/1,905,084
  6. Step 6: Final answer
    x = 4,421,478.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.