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Finding the Third Proportional to 883,018 and 1,907,198.50

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Solution

The third proportional to 883,018 and 1,907,198.50 is: 4,119,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,018 : 1,907,198.50 = 1,907,198.50 : x
  2. Step 2: Convert to fraction form
    883,018/1,907,198.50 = 1,907,198.50/x
  3. Step 3: Cross multiply
    883,018x = 1,907,198.50 × 1,907,198.50
  4. Step 4: Simplify right side
    883,018x = 3,637,406,118,402.25
  5. Step 5: Solve for x
    x = 3,637,406,118,402.25/883,018
  6. Step 6: Final answer
    x = 4,119,288.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.