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Finding the Third Proportional to 563,773 and 1,174,058

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Solution

The third proportional to 563,773 and 1,174,058 is: 2,444,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,773 : 1,174,058 = 1,174,058 : x
  2. Step 2: Convert to fraction form
    563,773/1,174,058 = 1,174,058/x
  3. Step 3: Cross multiply
    563,773x = 1,174,058 × 1,174,058
  4. Step 4: Simplify right side
    563,773x = 1,378,412,187,364
  5. Step 5: Solve for x
    x = 1,378,412,187,364/563,773
  6. Step 6: Final answer
    x = 2,444,977.30

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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.