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Finding the Third Proportional to 602,144 and 1,300,288

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Solution

The third proportional to 602,144 and 1,300,288 is: 2,807,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,144 : 1,300,288 = 1,300,288 : x
  2. Step 2: Convert to fraction form
    602,144/1,300,288 = 1,300,288/x
  3. Step 3: Cross multiply
    602,144x = 1,300,288 × 1,300,288
  4. Step 4: Simplify right side
    602,144x = 1,690,748,882,944
  5. Step 5: Solve for x
    x = 1,690,748,882,944/602,144
  6. Step 6: Final answer
    x = 2,807,881.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.