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Finding the Third Proportional to 630,181 and 968,633

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Solution

The third proportional to 630,181 and 968,633 is: 1,488,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,181 : 968,633 = 968,633 : x
  2. Step 2: Convert to fraction form
    630,181/968,633 = 968,633/x
  3. Step 3: Cross multiply
    630,181x = 968,633 × 968,633
  4. Step 4: Simplify right side
    630,181x = 938,249,888,689
  5. Step 5: Solve for x
    x = 938,249,888,689/630,181
  6. Step 6: Final answer
    x = 1,488,857.79

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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.