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Finding the Third Proportional to 630,054 and 968,409

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Solution

The third proportional to 630,054 and 968,409 is: 1,488,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,054 : 968,409 = 968,409 : x
  2. Step 2: Convert to fraction form
    630,054/968,409 = 968,409/x
  3. Step 3: Cross multiply
    630,054x = 968,409 × 968,409
  4. Step 4: Simplify right side
    630,054x = 937,815,991,281
  5. Step 5: Solve for x
    x = 937,815,991,281/630,054
  6. Step 6: Final answer
    x = 1,488,469.23

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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.