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Finding the Third Proportional to 514,220 and 1,107,462

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Solution

The third proportional to 514,220 and 1,107,462 is: 2,385,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,220 : 1,107,462 = 1,107,462 : x
  2. Step 2: Convert to fraction form
    514,220/1,107,462 = 1,107,462/x
  3. Step 3: Cross multiply
    514,220x = 1,107,462 × 1,107,462
  4. Step 4: Simplify right side
    514,220x = 1,226,472,081,444
  5. Step 5: Solve for x
    x = 1,226,472,081,444/514,220
  6. Step 6: Final answer
    x = 2,385,111.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.