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Finding the Third Proportional to 413,142 and 875,878

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Solution

The third proportional to 413,142 and 875,878 is: 1,856,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,142 : 875,878 = 875,878 : x
  2. Step 2: Convert to fraction form
    413,142/875,878 = 875,878/x
  3. Step 3: Cross multiply
    413,142x = 875,878 × 875,878
  4. Step 4: Simplify right side
    413,142x = 767,162,270,884
  5. Step 5: Solve for x
    x = 767,162,270,884/413,142
  6. Step 6: Final answer
    x = 1,856,897.32

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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.