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Finding the Third Proportional to 2,253,840.19 and 3,152,765.53

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Solution

The third proportional to 2,253,840.19 and 3,152,765.53 is: 4,410,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,840.19 : 3,152,765.53 = 3,152,765.53 : x
  2. Step 2: Convert to fraction form
    2,253,840.19/3,152,765.53 = 3,152,765.53/x
  3. Step 3: Cross multiply
    2,253,840.19x = 3,152,765.53 × 3,152,765.53
  4. Step 4: Simplify right side
    2,253,840.19x = 9,939,930,495,038.09
  5. Step 5: Solve for x
    x = 9,939,930,495,038.09/2,253,840.19
  6. Step 6: Final answer
    x = 4,410,219.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.