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Finding the Third Proportional to 684,718 and 1,001,720

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Solution

The third proportional to 684,718 and 1,001,720 is: 1,465,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,718 : 1,001,720 = 1,001,720 : x
  2. Step 2: Convert to fraction form
    684,718/1,001,720 = 1,001,720/x
  3. Step 3: Cross multiply
    684,718x = 1,001,720 × 1,001,720
  4. Step 4: Simplify right side
    684,718x = 1,003,442,958,400
  5. Step 5: Solve for x
    x = 1,003,442,958,400/684,718
  6. Step 6: Final answer
    x = 1,465,483.54

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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.