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Finding the Third Proportional to 2,549,088 and 5,546,409

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Solution

The third proportional to 2,549,088 and 5,546,409 is: 12,068,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,088 : 5,546,409 = 5,546,409 : x
  2. Step 2: Convert to fraction form
    2,549,088/5,546,409 = 5,546,409/x
  3. Step 3: Cross multiply
    2,549,088x = 5,546,409 × 5,546,409
  4. Step 4: Simplify right side
    2,549,088x = 30,762,652,795,281
  5. Step 5: Solve for x
    x = 30,762,652,795,281/2,549,088
  6. Step 6: Final answer
    x = 12,068,101.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.