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Finding the Third Proportional to 630,172 and 968,620

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Solution

The third proportional to 630,172 and 968,620 is: 1,488,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,172 : 968,620 = 968,620 : x
  2. Step 2: Convert to fraction form
    630,172/968,620 = 968,620/x
  3. Step 3: Cross multiply
    630,172x = 968,620 × 968,620
  4. Step 4: Simplify right side
    630,172x = 938,224,704,400
  5. Step 5: Solve for x
    x = 938,224,704,400/630,172
  6. Step 6: Final answer
    x = 1,488,839.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.