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Finding the Third Proportional to 2,045,765.50 and 3,068,647.88

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Solution

The third proportional to 2,045,765.50 and 3,068,647.88 is: 4,602,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,765.50 : 3,068,647.88 = 3,068,647.88 : x
  2. Step 2: Convert to fraction form
    2,045,765.50/3,068,647.88 = 3,068,647.88/x
  3. Step 3: Cross multiply
    2,045,765.50x = 3,068,647.88 × 3,068,647.88
  4. Step 4: Simplify right side
    2,045,765.50x = 9,416,599,780,742.02
  5. Step 5: Solve for x
    x = 9,416,599,780,742.02/2,045,765.50
  6. Step 6: Final answer
    x = 4,602,971.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.