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Finding the Third Proportional to 507,336 and 1,056,651

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Solution

The third proportional to 507,336 and 1,056,651 is: 2,200,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,336 : 1,056,651 = 1,056,651 : x
  2. Step 2: Convert to fraction form
    507,336/1,056,651 = 1,056,651/x
  3. Step 3: Cross multiply
    507,336x = 1,056,651 × 1,056,651
  4. Step 4: Simplify right side
    507,336x = 1,116,511,335,801
  5. Step 5: Solve for x
    x = 1,116,511,335,801/507,336
  6. Step 6: Final answer
    x = 2,200,733.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.