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Finding the Third Proportional to 2,094,430 and 4,519,668.50

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Solution

The third proportional to 2,094,430 and 4,519,668.50 is: 9,753,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,430 : 4,519,668.50 = 4,519,668.50 : x
  2. Step 2: Convert to fraction form
    2,094,430/4,519,668.50 = 4,519,668.50/x
  3. Step 3: Cross multiply
    2,094,430x = 4,519,668.50 × 4,519,668.50
  4. Step 4: Simplify right side
    2,094,430x = 20,427,403,349,892.25
  5. Step 5: Solve for x
    x = 20,427,403,349,892.25/2,094,430
  6. Step 6: Final answer
    x = 9,753,204.14

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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.