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Finding the Third Proportional to 446,663 and 972,058

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Solution

The third proportional to 446,663 and 972,058 is: 2,115,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,663 : 972,058 = 972,058 : x
  2. Step 2: Convert to fraction form
    446,663/972,058 = 972,058/x
  3. Step 3: Cross multiply
    446,663x = 972,058 × 972,058
  4. Step 4: Simplify right side
    446,663x = 944,896,755,364
  5. Step 5: Solve for x
    x = 944,896,755,364/446,663
  6. Step 6: Final answer
    x = 2,115,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.