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Finding the Third Proportional to 2,044,114 and 4,300,100

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Solution

The third proportional to 2,044,114 and 4,300,100 is: 9,045,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,114 : 4,300,100 = 4,300,100 : x
  2. Step 2: Convert to fraction form
    2,044,114/4,300,100 = 4,300,100/x
  3. Step 3: Cross multiply
    2,044,114x = 4,300,100 × 4,300,100
  4. Step 4: Simplify right side
    2,044,114x = 18,490,860,010,000
  5. Step 5: Solve for x
    x = 18,490,860,010,000/2,044,114
  6. Step 6: Final answer
    x = 9,045,904.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.