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Finding the Third Proportional to 458,688 and 1,036,296

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Solution

The third proportional to 458,688 and 1,036,296 is: 2,341,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,688 : 1,036,296 = 1,036,296 : x
  2. Step 2: Convert to fraction form
    458,688/1,036,296 = 1,036,296/x
  3. Step 3: Cross multiply
    458,688x = 1,036,296 × 1,036,296
  4. Step 4: Simplify right side
    458,688x = 1,073,909,399,616
  5. Step 5: Solve for x
    x = 1,073,909,399,616/458,688
  6. Step 6: Final answer
    x = 2,341,263.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.