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Finding the Third Proportional to 786,402 and 1,687,500

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Solution

The third proportional to 786,402 and 1,687,500 is: 3,621,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,402 : 1,687,500 = 1,687,500 : x
  2. Step 2: Convert to fraction form
    786,402/1,687,500 = 1,687,500/x
  3. Step 3: Cross multiply
    786,402x = 1,687,500 × 1,687,500
  4. Step 4: Simplify right side
    786,402x = 2,847,656,250,000
  5. Step 5: Solve for x
    x = 2,847,656,250,000/786,402
  6. Step 6: Final answer
    x = 3,621,120.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.