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Finding the Third Proportional to 419,051 and 904,502

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Solution

The third proportional to 419,051 and 904,502 is: 1,952,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,051 : 904,502 = 904,502 : x
  2. Step 2: Convert to fraction form
    419,051/904,502 = 904,502/x
  3. Step 3: Cross multiply
    419,051x = 904,502 × 904,502
  4. Step 4: Simplify right side
    419,051x = 818,123,868,004
  5. Step 5: Solve for x
    x = 818,123,868,004/419,051
  6. Step 6: Final answer
    x = 1,952,325.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.