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Finding the Third Proportional to 428,354 and 904,932

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Solution

The third proportional to 428,354 and 904,932 is: 1,911,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,354 : 904,932 = 904,932 : x
  2. Step 2: Convert to fraction form
    428,354/904,932 = 904,932/x
  3. Step 3: Cross multiply
    428,354x = 904,932 × 904,932
  4. Step 4: Simplify right side
    428,354x = 818,901,924,624
  5. Step 5: Solve for x
    x = 818,901,924,624/428,354
  6. Step 6: Final answer
    x = 1,911,741.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.