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Finding the Third Proportional to 403,740 and 876,166

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Solution

The third proportional to 403,740 and 876,166 is: 1,901,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,740 : 876,166 = 876,166 : x
  2. Step 2: Convert to fraction form
    403,740/876,166 = 876,166/x
  3. Step 3: Cross multiply
    403,740x = 876,166 × 876,166
  4. Step 4: Simplify right side
    403,740x = 767,666,859,556
  5. Step 5: Solve for x
    x = 767,666,859,556/403,740
  6. Step 6: Final answer
    x = 1,901,389.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.