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Finding the Third Proportional to 534,970 and 1,114,774

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Solution

The third proportional to 534,970 and 1,114,774 is: 2,322,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,970 : 1,114,774 = 1,114,774 : x
  2. Step 2: Convert to fraction form
    534,970/1,114,774 = 1,114,774/x
  3. Step 3: Cross multiply
    534,970x = 1,114,774 × 1,114,774
  4. Step 4: Simplify right side
    534,970x = 1,242,721,071,076
  5. Step 5: Solve for x
    x = 1,242,721,071,076/534,970
  6. Step 6: Final answer
    x = 2,322,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.