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Finding the Third Proportional to 658,316 and 1,416,532

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Solution

The third proportional to 658,316 and 1,416,532 is: 3,048,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,316 : 1,416,532 = 1,416,532 : x
  2. Step 2: Convert to fraction form
    658,316/1,416,532 = 1,416,532/x
  3. Step 3: Cross multiply
    658,316x = 1,416,532 × 1,416,532
  4. Step 4: Simplify right side
    658,316x = 2,006,562,907,024
  5. Step 5: Solve for x
    x = 2,006,562,907,024/658,316
  6. Step 6: Final answer
    x = 3,048,023.91

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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.