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Finding the Third Proportional to 501,213 and 1,080,669

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Solution

The third proportional to 501,213 and 1,080,669 is: 2,330,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213 : 1,080,669 = 1,080,669 : x
  2. Step 2: Convert to fraction form
    501,213/1,080,669 = 1,080,669/x
  3. Step 3: Cross multiply
    501,213x = 1,080,669 × 1,080,669
  4. Step 4: Simplify right side
    501,213x = 1,167,845,487,561
  5. Step 5: Solve for x
    x = 1,167,845,487,561/501,213
  6. Step 6: Final answer
    x = 2,330,038.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.