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Finding the Third Proportional to 462,592 and 986,258

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Solution

The third proportional to 462,592 and 986,258 is: 2,102,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,592 : 986,258 = 986,258 : x
  2. Step 2: Convert to fraction form
    462,592/986,258 = 986,258/x
  3. Step 3: Cross multiply
    462,592x = 986,258 × 986,258
  4. Step 4: Simplify right side
    462,592x = 972,704,842,564
  5. Step 5: Solve for x
    x = 972,704,842,564/462,592
  6. Step 6: Final answer
    x = 2,102,727.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.