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Finding the Third Proportional to 415,202 and 907,950

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Solution

The third proportional to 415,202 and 907,950 is: 1,985,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,202 : 907,950 = 907,950 : x
  2. Step 2: Convert to fraction form
    415,202/907,950 = 907,950/x
  3. Step 3: Cross multiply
    415,202x = 907,950 × 907,950
  4. Step 4: Simplify right side
    415,202x = 824,373,202,500
  5. Step 5: Solve for x
    x = 824,373,202,500/415,202
  6. Step 6: Final answer
    x = 1,985,475.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.