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Finding the Third Proportional to 862,968 and 1,877,440

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Solution

The third proportional to 862,968 and 1,877,440 is: 4,084,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,968 : 1,877,440 = 1,877,440 : x
  2. Step 2: Convert to fraction form
    862,968/1,877,440 = 1,877,440/x
  3. Step 3: Cross multiply
    862,968x = 1,877,440 × 1,877,440
  4. Step 4: Simplify right side
    862,968x = 3,524,780,953,600
  5. Step 5: Solve for x
    x = 3,524,780,953,600/862,968
  6. Step 6: Final answer
    x = 4,084,486.28

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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.