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Finding the Third Proportional to 1,997,280.50 and 4,368,214

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Solution

The third proportional to 1,997,280.50 and 4,368,214 is: 9,553,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,280.50 : 4,368,214 = 4,368,214 : x
  2. Step 2: Convert to fraction form
    1,997,280.50/4,368,214 = 4,368,214/x
  3. Step 3: Cross multiply
    1,997,280.50x = 4,368,214 × 4,368,214
  4. Step 4: Simplify right side
    1,997,280.50x = 19,081,293,549,796
  5. Step 5: Solve for x
    x = 19,081,293,549,796/1,997,280.50
  6. Step 6: Final answer
    x = 9,553,637.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.