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Finding the Third Proportional to 672,717 and 1,038,820

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Solution

The third proportional to 672,717 and 1,038,820 is: 1,604,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,717 : 1,038,820 = 1,038,820 : x
  2. Step 2: Convert to fraction form
    672,717/1,038,820 = 1,038,820/x
  3. Step 3: Cross multiply
    672,717x = 1,038,820 × 1,038,820
  4. Step 4: Simplify right side
    672,717x = 1,079,146,992,400
  5. Step 5: Solve for x
    x = 1,079,146,992,400/672,717
  6. Step 6: Final answer
    x = 1,604,161.92

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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.