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Finding the Third Proportional to 706,810 and 1,473,236

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Solution

The third proportional to 706,810 and 1,473,236 is: 3,070,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,810 : 1,473,236 = 1,473,236 : x
  2. Step 2: Convert to fraction form
    706,810/1,473,236 = 1,473,236/x
  3. Step 3: Cross multiply
    706,810x = 1,473,236 × 1,473,236
  4. Step 4: Simplify right side
    706,810x = 2,170,424,311,696
  5. Step 5: Solve for x
    x = 2,170,424,311,696/706,810
  6. Step 6: Final answer
    x = 3,070,732.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.