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Finding the Third Proportional to 602,754 and 1,289,397

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Solution

The third proportional to 602,754 and 1,289,397 is: 2,758,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,754 : 1,289,397 = 1,289,397 : x
  2. Step 2: Convert to fraction form
    602,754/1,289,397 = 1,289,397/x
  3. Step 3: Cross multiply
    602,754x = 1,289,397 × 1,289,397
  4. Step 4: Simplify right side
    602,754x = 1,662,544,623,609
  5. Step 5: Solve for x
    x = 1,662,544,623,609/602,754
  6. Step 6: Final answer
    x = 2,758,247.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.