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Finding the Third Proportional to 846,504 and 1,148,364

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Solution

The third proportional to 846,504 and 1,148,364 is: 1,557,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,504 : 1,148,364 = 1,148,364 : x
  2. Step 2: Convert to fraction form
    846,504/1,148,364 = 1,148,364/x
  3. Step 3: Cross multiply
    846,504x = 1,148,364 × 1,148,364
  4. Step 4: Simplify right side
    846,504x = 1,318,739,876,496
  5. Step 5: Solve for x
    x = 1,318,739,876,496/846,504
  6. Step 6: Final answer
    x = 1,557,866.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.