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Finding the Third Proportional to 630,192 and 968,646

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Solution

The third proportional to 630,192 and 968,646 is: 1,488,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,192 : 968,646 = 968,646 : x
  2. Step 2: Convert to fraction form
    630,192/968,646 = 968,646/x
  3. Step 3: Cross multiply
    630,192x = 968,646 × 968,646
  4. Step 4: Simplify right side
    630,192x = 938,275,073,316
  5. Step 5: Solve for x
    x = 938,275,073,316/630,192
  6. Step 6: Final answer
    x = 1,488,871.76

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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.