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Finding the Third Proportional to 913,688 and 2,105,804

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Solution

The third proportional to 913,688 and 2,105,804 is: 4,853,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,688 : 2,105,804 = 2,105,804 : x
  2. Step 2: Convert to fraction form
    913,688/2,105,804 = 2,105,804/x
  3. Step 3: Cross multiply
    913,688x = 2,105,804 × 2,105,804
  4. Step 4: Simplify right side
    913,688x = 4,434,410,486,416
  5. Step 5: Solve for x
    x = 4,434,410,486,416/913,688
  6. Step 6: Final answer
    x = 4,853,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.