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Finding the Third Proportional to 630,169 and 968,615

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Solution

The third proportional to 630,169 and 968,615 is: 1,488,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,169 : 968,615 = 968,615 : x
  2. Step 2: Convert to fraction form
    630,169/968,615 = 968,615/x
  3. Step 3: Cross multiply
    630,169x = 968,615 × 968,615
  4. Step 4: Simplify right side
    630,169x = 938,215,018,225
  5. Step 5: Solve for x
    x = 938,215,018,225/630,169
  6. Step 6: Final answer
    x = 1,488,830.80

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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.