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Finding the Third Proportional to 1,689,570 and 3,498,909

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Solution

The third proportional to 1,689,570 and 3,498,909 is: 7,245,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,570 : 3,498,909 = 3,498,909 : x
  2. Step 2: Convert to fraction form
    1,689,570/3,498,909 = 3,498,909/x
  3. Step 3: Cross multiply
    1,689,570x = 3,498,909 × 3,498,909
  4. Step 4: Simplify right side
    1,689,570x = 12,242,364,190,281
  5. Step 5: Solve for x
    x = 12,242,364,190,281/1,689,570
  6. Step 6: Final answer
    x = 7,245,846.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.