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Finding the Third Proportional to 704,051 and 1,445,427

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Solution

The third proportional to 704,051 and 1,445,427 is: 2,967,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,051 : 1,445,427 = 1,445,427 : x
  2. Step 2: Convert to fraction form
    704,051/1,445,427 = 1,445,427/x
  3. Step 3: Cross multiply
    704,051x = 1,445,427 × 1,445,427
  4. Step 4: Simplify right side
    704,051x = 2,089,259,212,329
  5. Step 5: Solve for x
    x = 2,089,259,212,329/704,051
  6. Step 6: Final answer
    x = 2,967,482.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.