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Finding the Third Proportional to 493,360 and 1,078,988

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Solution

The third proportional to 493,360 and 1,078,988 is: 2,359,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,360 : 1,078,988 = 1,078,988 : x
  2. Step 2: Convert to fraction form
    493,360/1,078,988 = 1,078,988/x
  3. Step 3: Cross multiply
    493,360x = 1,078,988 × 1,078,988
  4. Step 4: Simplify right side
    493,360x = 1,164,215,104,144
  5. Step 5: Solve for x
    x = 1,164,215,104,144/493,360
  6. Step 6: Final answer
    x = 2,359,767.93

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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.