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Finding the Third Proportional to 1,196,355.75 and 1,838,881.50

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Solution

The third proportional to 1,196,355.75 and 1,838,881.50 is: 2,826,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,355.75 : 1,838,881.50 = 1,838,881.50 : x
  2. Step 2: Convert to fraction form
    1,196,355.75/1,838,881.50 = 1,838,881.50/x
  3. Step 3: Cross multiply
    1,196,355.75x = 1,838,881.50 × 1,838,881.50
  4. Step 4: Simplify right side
    1,196,355.75x = 3,381,485,171,042.25
  5. Step 5: Solve for x
    x = 3,381,485,171,042.25/1,196,355.75
  6. Step 6: Final answer
    x = 2,826,488.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.