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Finding the Third Proportional to 1,969,584 and 4,284,259.50

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Solution

The third proportional to 1,969,584 and 4,284,259.50 is: 9,319,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,584 : 4,284,259.50 = 4,284,259.50 : x
  2. Step 2: Convert to fraction form
    1,969,584/4,284,259.50 = 4,284,259.50/x
  3. Step 3: Cross multiply
    1,969,584x = 4,284,259.50 × 4,284,259.50
  4. Step 4: Simplify right side
    1,969,584x = 18,354,879,463,340.25
  5. Step 5: Solve for x
    x = 18,354,879,463,340.25/1,969,584
  6. Step 6: Final answer
    x = 9,319,165.60

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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.