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Finding the Third Proportional to 535,454 and 1,164,220

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Solution

The third proportional to 535,454 and 1,164,220 is: 2,531,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,454 : 1,164,220 = 1,164,220 : x
  2. Step 2: Convert to fraction form
    535,454/1,164,220 = 1,164,220/x
  3. Step 3: Cross multiply
    535,454x = 1,164,220 × 1,164,220
  4. Step 4: Simplify right side
    535,454x = 1,355,408,208,400
  5. Step 5: Solve for x
    x = 1,355,408,208,400/535,454
  6. Step 6: Final answer
    x = 2,531,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.