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Finding the Third Proportional to 1,196,800.50 and 2,592,952.50

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Solution

The third proportional to 1,196,800.50 and 2,592,952.50 is: 5,617,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,800.50 : 2,592,952.50 = 2,592,952.50 : x
  2. Step 2: Convert to fraction form
    1,196,800.50/2,592,952.50 = 2,592,952.50/x
  3. Step 3: Cross multiply
    1,196,800.50x = 2,592,952.50 × 2,592,952.50
  4. Step 4: Simplify right side
    1,196,800.50x = 6,723,402,667,256.25
  5. Step 5: Solve for x
    x = 6,723,402,667,256.25/1,196,800.50
  6. Step 6: Final answer
    x = 5,617,814.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.