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Finding the Third Proportional to 501,417 and 1,072,818

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Solution

The third proportional to 501,417 and 1,072,818 is: 2,295,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,417 : 1,072,818 = 1,072,818 : x
  2. Step 2: Convert to fraction form
    501,417/1,072,818 = 1,072,818/x
  3. Step 3: Cross multiply
    501,417x = 1,072,818 × 1,072,818
  4. Step 4: Simplify right side
    501,417x = 1,150,938,461,124
  5. Step 5: Solve for x
    x = 1,150,938,461,124/501,417
  6. Step 6: Final answer
    x = 2,295,371.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.