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Finding the Third Proportional to 1,291,390.50 and 2,815,300.50

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Solution

The third proportional to 1,291,390.50 and 2,815,300.50 is: 6,137,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,390.50 : 2,815,300.50 = 2,815,300.50 : x
  2. Step 2: Convert to fraction form
    1,291,390.50/2,815,300.50 = 2,815,300.50/x
  3. Step 3: Cross multiply
    1,291,390.50x = 2,815,300.50 × 2,815,300.50
  4. Step 4: Simplify right side
    1,291,390.50x = 7,925,916,905,300.25
  5. Step 5: Solve for x
    x = 7,925,916,905,300.25/1,291,390.50
  6. Step 6: Final answer
    x = 6,137,505.97

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