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Finding the Third Proportional to 602,754 and 910,245

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Solution

The third proportional to 602,754 and 910,245 is: 1,374,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,754 : 910,245 = 910,245 : x
  2. Step 2: Convert to fraction form
    602,754/910,245 = 910,245/x
  3. Step 3: Cross multiply
    602,754x = 910,245 × 910,245
  4. Step 4: Simplify right side
    602,754x = 828,545,960,025
  5. Step 5: Solve for x
    x = 828,545,960,025/602,754
  6. Step 6: Final answer
    x = 1,374,600.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.