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Finding the Third Proportional to 623,826 and 991,729

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Solution

The third proportional to 623,826 and 991,729 is: 1,576,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,826 : 991,729 = 991,729 : x
  2. Step 2: Convert to fraction form
    623,826/991,729 = 991,729/x
  3. Step 3: Cross multiply
    623,826x = 991,729 × 991,729
  4. Step 4: Simplify right side
    623,826x = 983,526,409,441
  5. Step 5: Solve for x
    x = 983,526,409,441/623,826
  6. Step 6: Final answer
    x = 1,576,603.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.