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Finding the Third Proportional to 643,928 and 1,398,572

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Solution

The third proportional to 643,928 and 1,398,572 is: 3,037,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,928 : 1,398,572 = 1,398,572 : x
  2. Step 2: Convert to fraction form
    643,928/1,398,572 = 1,398,572/x
  3. Step 3: Cross multiply
    643,928x = 1,398,572 × 1,398,572
  4. Step 4: Simplify right side
    643,928x = 1,956,003,639,184
  5. Step 5: Solve for x
    x = 1,956,003,639,184/643,928
  6. Step 6: Final answer
    x = 3,037,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.