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Finding the Third Proportional to 630,968 and 945,476

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Solution

The third proportional to 630,968 and 945,476 is: 1,416,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,968 : 945,476 = 945,476 : x
  2. Step 2: Convert to fraction form
    630,968/945,476 = 945,476/x
  3. Step 3: Cross multiply
    630,968x = 945,476 × 945,476
  4. Step 4: Simplify right side
    630,968x = 893,924,866,576
  5. Step 5: Solve for x
    x = 893,924,866,576/630,968
  6. Step 6: Final answer
    x = 1,416,751.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.