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Finding the Third Proportional to 594,459 and 920,826

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Solution

The third proportional to 594,459 and 920,826 is: 1,426,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,459 : 920,826 = 920,826 : x
  2. Step 2: Convert to fraction form
    594,459/920,826 = 920,826/x
  3. Step 3: Cross multiply
    594,459x = 920,826 × 920,826
  4. Step 4: Simplify right side
    594,459x = 847,920,522,276
  5. Step 5: Solve for x
    x = 847,920,522,276/594,459
  6. Step 6: Final answer
    x = 1,426,373.43

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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.