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Finding the Third Proportional to 732,568 and 1,570,265

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Solution

The third proportional to 732,568 and 1,570,265 is: 3,365,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,568 : 1,570,265 = 1,570,265 : x
  2. Step 2: Convert to fraction form
    732,568/1,570,265 = 1,570,265/x
  3. Step 3: Cross multiply
    732,568x = 1,570,265 × 1,570,265
  4. Step 4: Simplify right side
    732,568x = 2,465,732,170,225
  5. Step 5: Solve for x
    x = 2,465,732,170,225/732,568
  6. Step 6: Final answer
    x = 3,365,874.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.