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Finding the Third Proportional to 2,083,019 and 4,290,646

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Solution

The third proportional to 2,083,019 and 4,290,646 is: 8,837,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,019 : 4,290,646 = 4,290,646 : x
  2. Step 2: Convert to fraction form
    2,083,019/4,290,646 = 4,290,646/x
  3. Step 3: Cross multiply
    2,083,019x = 4,290,646 × 4,290,646
  4. Step 4: Simplify right side
    2,083,019x = 18,409,643,097,316
  5. Step 5: Solve for x
    x = 18,409,643,097,316/2,083,019
  6. Step 6: Final answer
    x = 8,837,962.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.