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Finding the Third Proportional to 546,917 and 839,528

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Solution

The third proportional to 546,917 and 839,528 is: 1,288,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,917 : 839,528 = 839,528 : x
  2. Step 2: Convert to fraction form
    546,917/839,528 = 839,528/x
  3. Step 3: Cross multiply
    546,917x = 839,528 × 839,528
  4. Step 4: Simplify right side
    546,917x = 704,807,262,784
  5. Step 5: Solve for x
    x = 704,807,262,784/546,917
  6. Step 6: Final answer
    x = 1,288,691.45

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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.