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Finding the Third Proportional to 413,148 and 875,904

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Solution

The third proportional to 413,148 and 875,904 is: 1,856,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,148 : 875,904 = 875,904 : x
  2. Step 2: Convert to fraction form
    413,148/875,904 = 875,904/x
  3. Step 3: Cross multiply
    413,148x = 875,904 × 875,904
  4. Step 4: Simplify right side
    413,148x = 767,207,817,216
  5. Step 5: Solve for x
    x = 767,207,817,216/413,148
  6. Step 6: Final answer
    x = 1,856,980.59

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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.