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Finding the Third Proportional to 493,352 and 1,038,256

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Solution

The third proportional to 493,352 and 1,038,256 is: 2,185,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,352 : 1,038,256 = 1,038,256 : x
  2. Step 2: Convert to fraction form
    493,352/1,038,256 = 1,038,256/x
  3. Step 3: Cross multiply
    493,352x = 1,038,256 × 1,038,256
  4. Step 4: Simplify right side
    493,352x = 1,077,975,521,536
  5. Step 5: Solve for x
    x = 1,077,975,521,536/493,352
  6. Step 6: Final answer
    x = 2,185,002.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.