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Finding the Third Proportional to 501,316 and 1,043,941

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Solution

The third proportional to 501,316 and 1,043,941 is: 2,173,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,316 : 1,043,941 = 1,043,941 : x
  2. Step 2: Convert to fraction form
    501,316/1,043,941 = 1,043,941/x
  3. Step 3: Cross multiply
    501,316x = 1,043,941 × 1,043,941
  4. Step 4: Simplify right side
    501,316x = 1,089,812,811,481
  5. Step 5: Solve for x
    x = 1,089,812,811,481/501,316
  6. Step 6: Final answer
    x = 2,173,903.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.