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Finding the Third Proportional to 1,411,186.50 and 2,119,959

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Solution

The third proportional to 1,411,186.50 and 2,119,959 is: 3,184,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,186.50 : 2,119,959 = 2,119,959 : x
  2. Step 2: Convert to fraction form
    1,411,186.50/2,119,959 = 2,119,959/x
  3. Step 3: Cross multiply
    1,411,186.50x = 2,119,959 × 2,119,959
  4. Step 4: Simplify right side
    1,411,186.50x = 4,494,226,161,681
  5. Step 5: Solve for x
    x = 4,494,226,161,681/1,411,186.50
  6. Step 6: Final answer
    x = 3,184,714.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.