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Finding the Third Proportional to 469,488 and 997,152

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Solution

The third proportional to 469,488 and 997,152 is: 2,117,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,488 : 997,152 = 997,152 : x
  2. Step 2: Convert to fraction form
    469,488/997,152 = 997,152/x
  3. Step 3: Cross multiply
    469,488x = 997,152 × 997,152
  4. Step 4: Simplify right side
    469,488x = 994,312,111,104
  5. Step 5: Solve for x
    x = 994,312,111,104/469,488
  6. Step 6: Final answer
    x = 2,117,864.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.