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Finding the Third Proportional to 594,441 and 920,821

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Solution

The third proportional to 594,441 and 920,821 is: 1,426,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,441 : 920,821 = 920,821 : x
  2. Step 2: Convert to fraction form
    594,441/920,821 = 920,821/x
  3. Step 3: Cross multiply
    594,441x = 920,821 × 920,821
  4. Step 4: Simplify right side
    594,441x = 847,911,314,041
  5. Step 5: Solve for x
    x = 847,911,314,041/594,441
  6. Step 6: Final answer
    x = 1,426,401.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.