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Finding the Third Proportional to 663,433 and 1,421,514

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Solution

The third proportional to 663,433 and 1,421,514 is: 3,045,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,433 : 1,421,514 = 1,421,514 : x
  2. Step 2: Convert to fraction form
    663,433/1,421,514 = 1,421,514/x
  3. Step 3: Cross multiply
    663,433x = 1,421,514 × 1,421,514
  4. Step 4: Simplify right side
    663,433x = 2,020,702,052,196
  5. Step 5: Solve for x
    x = 2,020,702,052,196/663,433
  6. Step 6: Final answer
    x = 3,045,826.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.