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Finding the Third Proportional to 1,999,031 and 3,070,731

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Solution

The third proportional to 1,999,031 and 3,070,731 is: 4,716,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,031 : 3,070,731 = 3,070,731 : x
  2. Step 2: Convert to fraction form
    1,999,031/3,070,731 = 3,070,731/x
  3. Step 3: Cross multiply
    1,999,031x = 3,070,731 × 3,070,731
  4. Step 4: Simplify right side
    1,999,031x = 9,429,388,874,361
  5. Step 5: Solve for x
    x = 9,429,388,874,361/1,999,031
  6. Step 6: Final answer
    x = 4,716,979.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.