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Finding the Third Proportional to 658,341 and 1,416,582

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Solution

The third proportional to 658,341 and 1,416,582 is: 3,048,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,341 : 1,416,582 = 1,416,582 : x
  2. Step 2: Convert to fraction form
    658,341/1,416,582 = 1,416,582/x
  3. Step 3: Cross multiply
    658,341x = 1,416,582 × 1,416,582
  4. Step 4: Simplify right side
    658,341x = 2,006,704,562,724
  5. Step 5: Solve for x
    x = 2,006,704,562,724/658,341
  6. Step 6: Final answer
    x = 3,048,123.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.