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Finding the Third Proportional to 519,688 and 1,138,682

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Solution

The third proportional to 519,688 and 1,138,682 is: 2,494,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,688 : 1,138,682 = 1,138,682 : x
  2. Step 2: Convert to fraction form
    519,688/1,138,682 = 1,138,682/x
  3. Step 3: Cross multiply
    519,688x = 1,138,682 × 1,138,682
  4. Step 4: Simplify right side
    519,688x = 1,296,596,697,124
  5. Step 5: Solve for x
    x = 1,296,596,697,124/519,688
  6. Step 6: Final answer
    x = 2,494,952.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.