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Finding the Third Proportional to 597,321 and 1,299,618

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Solution

The third proportional to 597,321 and 1,299,618 is: 2,827,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,321 : 1,299,618 = 1,299,618 : x
  2. Step 2: Convert to fraction form
    597,321/1,299,618 = 1,299,618/x
  3. Step 3: Cross multiply
    597,321x = 1,299,618 × 1,299,618
  4. Step 4: Simplify right side
    597,321x = 1,689,006,945,924
  5. Step 5: Solve for x
    x = 1,689,006,945,924/597,321
  6. Step 6: Final answer
    x = 2,827,636.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.