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Finding the Third Proportional to 413,140 and 875,884

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Solution

The third proportional to 413,140 and 875,884 is: 1,856,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,140 : 875,884 = 875,884 : x
  2. Step 2: Convert to fraction form
    413,140/875,884 = 875,884/x
  3. Step 3: Cross multiply
    413,140x = 875,884 × 875,884
  4. Step 4: Simplify right side
    413,140x = 767,172,781,456
  5. Step 5: Solve for x
    x = 767,172,781,456/413,140
  6. Step 6: Final answer
    x = 1,856,931.75

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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.