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Finding the Third Proportional to 703,732 and 1,659,618

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Solution

The third proportional to 703,732 and 1,659,618 is: 3,913,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,732 : 1,659,618 = 1,659,618 : x
  2. Step 2: Convert to fraction form
    703,732/1,659,618 = 1,659,618/x
  3. Step 3: Cross multiply
    703,732x = 1,659,618 × 1,659,618
  4. Step 4: Simplify right side
    703,732x = 2,754,331,905,924
  5. Step 5: Solve for x
    x = 2,754,331,905,924/703,732
  6. Step 6: Final answer
    x = 3,913,893.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.