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Finding the Third Proportional to 1,030,806 and 2,090,610

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Solution

The third proportional to 1,030,806 and 2,090,610 is: 4,240,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,806 : 2,090,610 = 2,090,610 : x
  2. Step 2: Convert to fraction form
    1,030,806/2,090,610 = 2,090,610/x
  3. Step 3: Cross multiply
    1,030,806x = 2,090,610 × 2,090,610
  4. Step 4: Simplify right side
    1,030,806x = 4,370,650,172,100
  5. Step 5: Solve for x
    x = 4,370,650,172,100/1,030,806
  6. Step 6: Final answer
    x = 4,240,031.75

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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.