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Finding the Third Proportional to 883,516 and 1,923,457

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Solution

The third proportional to 883,516 and 1,923,457 is: 4,187,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,516 : 1,923,457 = 1,923,457 : x
  2. Step 2: Convert to fraction form
    883,516/1,923,457 = 1,923,457/x
  3. Step 3: Cross multiply
    883,516x = 1,923,457 × 1,923,457
  4. Step 4: Simplify right side
    883,516x = 3,699,686,830,849
  5. Step 5: Solve for x
    x = 3,699,686,830,849/883,516
  6. Step 6: Final answer
    x = 4,187,458.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.