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Finding the Third Proportional to 961,677 and 1,522,766.25

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Solution

The third proportional to 961,677 and 1,522,766.25 is: 2,411,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,677 : 1,522,766.25 = 1,522,766.25 : x
  2. Step 2: Convert to fraction form
    961,677/1,522,766.25 = 1,522,766.25/x
  3. Step 3: Cross multiply
    961,677x = 1,522,766.25 × 1,522,766.25
  4. Step 4: Simplify right side
    961,677x = 2,318,817,052,139.06
  5. Step 5: Solve for x
    x = 2,318,817,052,139.06/961,677
  6. Step 6: Final answer
    x = 2,411,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.