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Finding the Third Proportional to 902,669 and 1,321,597

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Solution

The third proportional to 902,669 and 1,321,597 is: 1,934,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,669 : 1,321,597 = 1,321,597 : x
  2. Step 2: Convert to fraction form
    902,669/1,321,597 = 1,321,597/x
  3. Step 3: Cross multiply
    902,669x = 1,321,597 × 1,321,597
  4. Step 4: Simplify right side
    902,669x = 1,746,618,630,409
  5. Step 5: Solve for x
    x = 1,746,618,630,409/902,669
  6. Step 6: Final answer
    x = 1,934,949.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.