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Finding the Third Proportional to 633,051 and 1,464,257

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Solution

The third proportional to 633,051 and 1,464,257 is: 3,386,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,051 : 1,464,257 = 1,464,257 : x
  2. Step 2: Convert to fraction form
    633,051/1,464,257 = 1,464,257/x
  3. Step 3: Cross multiply
    633,051x = 1,464,257 × 1,464,257
  4. Step 4: Simplify right side
    633,051x = 2,144,048,562,049
  5. Step 5: Solve for x
    x = 2,144,048,562,049/633,051
  6. Step 6: Final answer
    x = 3,386,849.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.