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Finding the Third Proportional to 594,020 and 920,622

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Solution

The third proportional to 594,020 and 920,622 is: 1,426,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,020 : 920,622 = 920,622 : x
  2. Step 2: Convert to fraction form
    594,020/920,622 = 920,622/x
  3. Step 3: Cross multiply
    594,020x = 920,622 × 920,622
  4. Step 4: Simplify right side
    594,020x = 847,544,866,884
  5. Step 5: Solve for x
    x = 847,544,866,884/594,020
  6. Step 6: Final answer
    x = 1,426,795.17

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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.