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Finding the Third Proportional to 543,748 and 839,862

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Solution

The third proportional to 543,748 and 839,862 is: 1,297,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,748 : 839,862 = 839,862 : x
  2. Step 2: Convert to fraction form
    543,748/839,862 = 839,862/x
  3. Step 3: Cross multiply
    543,748x = 839,862 × 839,862
  4. Step 4: Simplify right side
    543,748x = 705,368,179,044
  5. Step 5: Solve for x
    x = 705,368,179,044/543,748
  6. Step 6: Final answer
    x = 1,297,233.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.