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Finding the Third Proportional to 983,952 and 1,440,936

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Solution

The third proportional to 983,952 and 1,440,936 is: 2,110,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,952 : 1,440,936 = 1,440,936 : x
  2. Step 2: Convert to fraction form
    983,952/1,440,936 = 1,440,936/x
  3. Step 3: Cross multiply
    983,952x = 1,440,936 × 1,440,936
  4. Step 4: Simplify right side
    983,952x = 2,076,296,556,096
  5. Step 5: Solve for x
    x = 2,076,296,556,096/983,952
  6. Step 6: Final answer
    x = 2,110,160.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.