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Finding the Third Proportional to 491,358 and 1,041,765

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Solution

The third proportional to 491,358 and 1,041,765 is: 2,208,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,358 : 1,041,765 = 1,041,765 : x
  2. Step 2: Convert to fraction form
    491,358/1,041,765 = 1,041,765/x
  3. Step 3: Cross multiply
    491,358x = 1,041,765 × 1,041,765
  4. Step 4: Simplify right side
    491,358x = 1,085,274,315,225
  5. Step 5: Solve for x
    x = 1,085,274,315,225/491,358
  6. Step 6: Final answer
    x = 2,208,724.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.