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Finding the Third Proportional to 634,152 and 869,580

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Solution

The third proportional to 634,152 and 869,580 is: 1,192,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,152 : 869,580 = 869,580 : x
  2. Step 2: Convert to fraction form
    634,152/869,580 = 869,580/x
  3. Step 3: Cross multiply
    634,152x = 869,580 × 869,580
  4. Step 4: Simplify right side
    634,152x = 756,169,376,400
  5. Step 5: Solve for x
    x = 756,169,376,400/634,152
  6. Step 6: Final answer
    x = 1,192,410.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.