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Finding the Third Proportional to 947,044 and 2,080,712

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Solution

The third proportional to 947,044 and 2,080,712 is: 4,571,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,044 : 2,080,712 = 2,080,712 : x
  2. Step 2: Convert to fraction form
    947,044/2,080,712 = 2,080,712/x
  3. Step 3: Cross multiply
    947,044x = 2,080,712 × 2,080,712
  4. Step 4: Simplify right side
    947,044x = 4,329,362,426,944
  5. Step 5: Solve for x
    x = 4,329,362,426,944/947,044
  6. Step 6: Final answer
    x = 4,571,448.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.