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Finding the Third Proportional to 567,983 and 1,215,769

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Solution

The third proportional to 567,983 and 1,215,769 is: 2,602,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,983 : 1,215,769 = 1,215,769 : x
  2. Step 2: Convert to fraction form
    567,983/1,215,769 = 1,215,769/x
  3. Step 3: Cross multiply
    567,983x = 1,215,769 × 1,215,769
  4. Step 4: Simplify right side
    567,983x = 1,478,094,261,361
  5. Step 5: Solve for x
    x = 1,478,094,261,361/567,983
  6. Step 6: Final answer
    x = 2,602,356.52

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