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Finding the Third Proportional to 780,397.50 and 1,702,605

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Solution

The third proportional to 780,397.50 and 1,702,605 is: 3,714,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,397.50 : 1,702,605 = 1,702,605 : x
  2. Step 2: Convert to fraction form
    780,397.50/1,702,605 = 1,702,605/x
  3. Step 3: Cross multiply
    780,397.50x = 1,702,605 × 1,702,605
  4. Step 4: Simplify right side
    780,397.50x = 2,898,863,786,025
  5. Step 5: Solve for x
    x = 2,898,863,786,025/780,397.50
  6. Step 6: Final answer
    x = 3,714,599.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.