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Finding the Third Proportional to 1,135,705 and 2,304,783

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Solution

The third proportional to 1,135,705 and 2,304,783 is: 4,677,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,705 : 2,304,783 = 2,304,783 : x
  2. Step 2: Convert to fraction form
    1,135,705/2,304,783 = 2,304,783/x
  3. Step 3: Cross multiply
    1,135,705x = 2,304,783 × 2,304,783
  4. Step 4: Simplify right side
    1,135,705x = 5,312,024,677,089
  5. Step 5: Solve for x
    x = 5,312,024,677,089/1,135,705
  6. Step 6: Final answer
    x = 4,677,292.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.