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Finding the Third Proportional to 630,386 and 968,901

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Solution

The third proportional to 630,386 and 968,901 is: 1,489,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,386 : 968,901 = 968,901 : x
  2. Step 2: Convert to fraction form
    630,386/968,901 = 968,901/x
  3. Step 3: Cross multiply
    630,386x = 968,901 × 968,901
  4. Step 4: Simplify right side
    630,386x = 938,769,147,801
  5. Step 5: Solve for x
    x = 938,769,147,801/630,386
  6. Step 6: Final answer
    x = 1,489,197.33

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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.