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Finding the Third Proportional to 990,409 and 2,170,114

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Solution

The third proportional to 990,409 and 2,170,114 is: 4,754,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,409 : 2,170,114 = 2,170,114 : x
  2. Step 2: Convert to fraction form
    990,409/2,170,114 = 2,170,114/x
  3. Step 3: Cross multiply
    990,409x = 2,170,114 × 2,170,114
  4. Step 4: Simplify right side
    990,409x = 4,709,394,772,996
  5. Step 5: Solve for x
    x = 4,709,394,772,996/990,409
  6. Step 6: Final answer
    x = 4,754,999.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.