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Finding the Third Proportional to 658,319 and 1,416,538

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Solution

The third proportional to 658,319 and 1,416,538 is: 3,048,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,319 : 1,416,538 = 1,416,538 : x
  2. Step 2: Convert to fraction form
    658,319/1,416,538 = 1,416,538/x
  3. Step 3: Cross multiply
    658,319x = 1,416,538 × 1,416,538
  4. Step 4: Simplify right side
    658,319x = 2,006,579,905,444
  5. Step 5: Solve for x
    x = 2,006,579,905,444/658,319
  6. Step 6: Final answer
    x = 3,048,035.84

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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.