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Finding the Third Proportional to 428,368 and 904,960

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Solution

The third proportional to 428,368 and 904,960 is: 1,911,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,368 : 904,960 = 904,960 : x
  2. Step 2: Convert to fraction form
    428,368/904,960 = 904,960/x
  3. Step 3: Cross multiply
    428,368x = 904,960 × 904,960
  4. Step 4: Simplify right side
    428,368x = 818,952,601,600
  5. Step 5: Solve for x
    x = 818,952,601,600/428,368
  6. Step 6: Final answer
    x = 1,911,796.87

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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.