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Finding the Third Proportional to 672,719 and 1,038,823

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Solution

The third proportional to 672,719 and 1,038,823 is: 1,604,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,719 : 1,038,823 = 1,038,823 : x
  2. Step 2: Convert to fraction form
    672,719/1,038,823 = 1,038,823/x
  3. Step 3: Cross multiply
    672,719x = 1,038,823 × 1,038,823
  4. Step 4: Simplify right side
    672,719x = 1,079,153,225,329
  5. Step 5: Solve for x
    x = 1,079,153,225,329/672,719
  6. Step 6: Final answer
    x = 1,604,166.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.