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Finding the Third Proportional to 684,722 and 1,001,726

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Solution

The third proportional to 684,722 and 1,001,726 is: 1,465,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,722 : 1,001,726 = 1,001,726 : x
  2. Step 2: Convert to fraction form
    684,722/1,001,726 = 1,001,726/x
  3. Step 3: Cross multiply
    684,722x = 1,001,726 × 1,001,726
  4. Step 4: Simplify right side
    684,722x = 1,003,454,979,076
  5. Step 5: Solve for x
    x = 1,003,454,979,076/684,722
  6. Step 6: Final answer
    x = 1,465,492.53

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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.