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Finding the Third Proportional to 684,728 and 1,001,736

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Solution

The third proportional to 684,728 and 1,001,736 is: 1,465,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,728 : 1,001,736 = 1,001,736 : x
  2. Step 2: Convert to fraction form
    684,728/1,001,736 = 1,001,736/x
  3. Step 3: Cross multiply
    684,728x = 1,001,736 × 1,001,736
  4. Step 4: Simplify right side
    684,728x = 1,003,475,013,696
  5. Step 5: Solve for x
    x = 1,003,475,013,696/684,728
  6. Step 6: Final answer
    x = 1,465,508.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.