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Finding the Third Proportional to 617,130 and 933,435

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Solution

The third proportional to 617,130 and 933,435 is: 1,411,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,130 : 933,435 = 933,435 : x
  2. Step 2: Convert to fraction form
    617,130/933,435 = 933,435/x
  3. Step 3: Cross multiply
    617,130x = 933,435 × 933,435
  4. Step 4: Simplify right side
    617,130x = 871,300,899,225
  5. Step 5: Solve for x
    x = 871,300,899,225/617,130
  6. Step 6: Final answer
    x = 1,411,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.