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Finding the Third Proportional to 594,024 and 1,386,102

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Solution

The third proportional to 594,024 and 1,386,102 is: 3,234,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,024 : 1,386,102 = 1,386,102 : x
  2. Step 2: Convert to fraction form
    594,024/1,386,102 = 1,386,102/x
  3. Step 3: Cross multiply
    594,024x = 1,386,102 × 1,386,102
  4. Step 4: Simplify right side
    594,024x = 1,921,278,754,404
  5. Step 5: Solve for x
    x = 1,921,278,754,404/594,024
  6. Step 6: Final answer
    x = 3,234,345.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.