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Finding the Third Proportional to 572,100 and 1,234,164

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Solution

The third proportional to 572,100 and 1,234,164 is: 2,662,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,100 : 1,234,164 = 1,234,164 : x
  2. Step 2: Convert to fraction form
    572,100/1,234,164 = 1,234,164/x
  3. Step 3: Cross multiply
    572,100x = 1,234,164 × 1,234,164
  4. Step 4: Simplify right side
    572,100x = 1,523,160,778,896
  5. Step 5: Solve for x
    x = 1,523,160,778,896/572,100
  6. Step 6: Final answer
    x = 2,662,403.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.