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Finding the Third Proportional to 845,004 and 1,878,948

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Solution

The third proportional to 845,004 and 1,878,948 is: 4,178,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,004 : 1,878,948 = 1,878,948 : x
  2. Step 2: Convert to fraction form
    845,004/1,878,948 = 1,878,948/x
  3. Step 3: Cross multiply
    845,004x = 1,878,948 × 1,878,948
  4. Step 4: Simplify right side
    845,004x = 3,530,445,586,704
  5. Step 5: Solve for x
    x = 3,530,445,586,704/845,004
  6. Step 6: Final answer
    x = 4,178,022.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.