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Finding the Third Proportional to 2,328,205.50 and 3,477,973.50

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Solution

The third proportional to 2,328,205.50 and 3,477,973.50 is: 5,195,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,205.50 : 3,477,973.50 = 3,477,973.50 : x
  2. Step 2: Convert to fraction form
    2,328,205.50/3,477,973.50 = 3,477,973.50/x
  3. Step 3: Cross multiply
    2,328,205.50x = 3,477,973.50 × 3,477,973.50
  4. Step 4: Simplify right side
    2,328,205.50x = 12,096,299,666,702.25
  5. Step 5: Solve for x
    x = 12,096,299,666,702.25/2,328,205.50
  6. Step 6: Final answer
    x = 5,195,546.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.