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Finding the Third Proportional to 545,464 and 1,193,008

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Solution

The third proportional to 545,464 and 1,193,008 is: 2,609,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,464 : 1,193,008 = 1,193,008 : x
  2. Step 2: Convert to fraction form
    545,464/1,193,008 = 1,193,008/x
  3. Step 3: Cross multiply
    545,464x = 1,193,008 × 1,193,008
  4. Step 4: Simplify right side
    545,464x = 1,423,268,088,064
  5. Step 5: Solve for x
    x = 1,423,268,088,064/545,464
  6. Step 6: Final answer
    x = 2,609,279.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.