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Finding the Third Proportional to 578,352 and 1,226,688

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Solution

The third proportional to 578,352 and 1,226,688 is: 2,601,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,352 : 1,226,688 = 1,226,688 : x
  2. Step 2: Convert to fraction form
    578,352/1,226,688 = 1,226,688/x
  3. Step 3: Cross multiply
    578,352x = 1,226,688 × 1,226,688
  4. Step 4: Simplify right side
    578,352x = 1,504,763,449,344
  5. Step 5: Solve for x
    x = 1,504,763,449,344/578,352
  6. Step 6: Final answer
    x = 2,601,812.48

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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.