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Finding the Third Proportional to 573,178 and 1,214,630

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Solution

The third proportional to 573,178 and 1,214,630 is: 2,573,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,178 : 1,214,630 = 1,214,630 : x
  2. Step 2: Convert to fraction form
    573,178/1,214,630 = 1,214,630/x
  3. Step 3: Cross multiply
    573,178x = 1,214,630 × 1,214,630
  4. Step 4: Simplify right side
    573,178x = 1,475,326,036,900
  5. Step 5: Solve for x
    x = 1,475,326,036,900/573,178
  6. Step 6: Final answer
    x = 2,573,940.45

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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.