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Finding the Third Proportional to 620,764 and 991,822

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Solution

The third proportional to 620,764 and 991,822 is: 1,584,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,764 : 991,822 = 991,822 : x
  2. Step 2: Convert to fraction form
    620,764/991,822 = 991,822/x
  3. Step 3: Cross multiply
    620,764x = 991,822 × 991,822
  4. Step 4: Simplify right side
    620,764x = 983,710,879,684
  5. Step 5: Solve for x
    x = 983,710,879,684/620,764
  6. Step 6: Final answer
    x = 1,584,677.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.