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Finding the Third Proportional to 485,004 and 1,047,444

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Solution

The third proportional to 485,004 and 1,047,444 is: 2,262,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,004 : 1,047,444 = 1,047,444 : x
  2. Step 2: Convert to fraction form
    485,004/1,047,444 = 1,047,444/x
  3. Step 3: Cross multiply
    485,004x = 1,047,444 × 1,047,444
  4. Step 4: Simplify right side
    485,004x = 1,097,138,933,136
  5. Step 5: Solve for x
    x = 1,097,138,933,136/485,004
  6. Step 6: Final answer
    x = 2,262,123.47

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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.