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Finding the Third Proportional to 643,970 and 1,398,559

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Solution

The third proportional to 643,970 and 1,398,559 is: 3,037,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,970 : 1,398,559 = 1,398,559 : x
  2. Step 2: Convert to fraction form
    643,970/1,398,559 = 1,398,559/x
  3. Step 3: Cross multiply
    643,970x = 1,398,559 × 1,398,559
  4. Step 4: Simplify right side
    643,970x = 1,955,967,276,481
  5. Step 5: Solve for x
    x = 1,955,967,276,481/643,970
  6. Step 6: Final answer
    x = 3,037,357.76

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