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Finding the Third Proportional to 427,968 and 903,681

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Solution

The third proportional to 427,968 and 903,681 is: 1,908,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,968 : 903,681 = 903,681 : x
  2. Step 2: Convert to fraction form
    427,968/903,681 = 903,681/x
  3. Step 3: Cross multiply
    427,968x = 903,681 × 903,681
  4. Step 4: Simplify right side
    427,968x = 816,639,349,761
  5. Step 5: Solve for x
    x = 816,639,349,761/427,968
  6. Step 6: Final answer
    x = 1,908,178.53

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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.