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Finding the Third Proportional to 439,056 and 912,555

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Solution

The third proportional to 439,056 and 912,555 is: 1,896,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,056 : 912,555 = 912,555 : x
  2. Step 2: Convert to fraction form
    439,056/912,555 = 912,555/x
  3. Step 3: Cross multiply
    439,056x = 912,555 × 912,555
  4. Step 4: Simplify right side
    439,056x = 832,756,628,025
  5. Step 5: Solve for x
    x = 832,756,628,025/439,056
  6. Step 6: Final answer
    x = 1,896,697.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.