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Finding the Third Proportional to 403,746 and 876,178

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Solution

The third proportional to 403,746 and 876,178 is: 1,901,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,746 : 876,178 = 876,178 : x
  2. Step 2: Convert to fraction form
    403,746/876,178 = 876,178/x
  3. Step 3: Cross multiply
    403,746x = 876,178 × 876,178
  4. Step 4: Simplify right side
    403,746x = 767,687,887,684
  5. Step 5: Solve for x
    x = 767,687,887,684/403,746
  6. Step 6: Final answer
    x = 1,901,412.99

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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.