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Finding the Third Proportional to 405,316 and 881,984

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Solution

The third proportional to 405,316 and 881,984 is: 1,919,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,316 : 881,984 = 881,984 : x
  2. Step 2: Convert to fraction form
    405,316/881,984 = 881,984/x
  3. Step 3: Cross multiply
    405,316x = 881,984 × 881,984
  4. Step 4: Simplify right side
    405,316x = 777,895,776,256
  5. Step 5: Solve for x
    x = 777,895,776,256/405,316
  6. Step 6: Final answer
    x = 1,919,232.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.