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Finding the Third Proportional to 545,279.34 and 1,164,782.53

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Solution

The third proportional to 545,279.34 and 1,164,782.53 is: 2,488,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,279.34 : 1,164,782.53 = 1,164,782.53 : x
  2. Step 2: Convert to fraction form
    545,279.34/1,164,782.53 = 1,164,782.53/x
  3. Step 3: Cross multiply
    545,279.34x = 1,164,782.53 × 1,164,782.53
  4. Step 4: Simplify right side
    545,279.34x = 1,356,718,345,105.16
  5. Step 5: Solve for x
    x = 1,356,718,345,105.16/545,279.34
  6. Step 6: Final answer
    x = 2,488,116.16

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Why These Related Problems?

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