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Finding the Third Proportional to 982,472 and 1,562,284

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Solution

The third proportional to 982,472 and 1,562,284 is: 2,484,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,472 : 1,562,284 = 1,562,284 : x
  2. Step 2: Convert to fraction form
    982,472/1,562,284 = 1,562,284/x
  3. Step 3: Cross multiply
    982,472x = 1,562,284 × 1,562,284
  4. Step 4: Simplify right side
    982,472x = 2,440,731,296,656
  5. Step 5: Solve for x
    x = 2,440,731,296,656/982,472
  6. Step 6: Final answer
    x = 2,484,275.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.