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Finding the Third Proportional to 428,597 and 916,242

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Solution

The third proportional to 428,597 and 916,242 is: 1,958,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,597 : 916,242 = 916,242 : x
  2. Step 2: Convert to fraction form
    428,597/916,242 = 916,242/x
  3. Step 3: Cross multiply
    428,597x = 916,242 × 916,242
  4. Step 4: Simplify right side
    428,597x = 839,499,402,564
  5. Step 5: Solve for x
    x = 839,499,402,564/428,597
  6. Step 6: Final answer
    x = 1,958,715.07

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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.