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Finding the Third Proportional to 2,044,783.50 and 4,301,097

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Solution

The third proportional to 2,044,783.50 and 4,301,097 is: 9,047,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,783.50 : 4,301,097 = 4,301,097 : x
  2. Step 2: Convert to fraction form
    2,044,783.50/4,301,097 = 4,301,097/x
  3. Step 3: Cross multiply
    2,044,783.50x = 4,301,097 × 4,301,097
  4. Step 4: Simplify right side
    2,044,783.50x = 18,499,435,403,409
  5. Step 5: Solve for x
    x = 18,499,435,403,409/2,044,783.50
  6. Step 6: Final answer
    x = 9,047,136.48

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Why These Related Problems?

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