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Finding the Third Proportional to 560,048 and 889,895

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Solution

The third proportional to 560,048 and 889,895 is: 1,414,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,048 : 889,895 = 889,895 : x
  2. Step 2: Convert to fraction form
    560,048/889,895 = 889,895/x
  3. Step 3: Cross multiply
    560,048x = 889,895 × 889,895
  4. Step 4: Simplify right side
    560,048x = 791,913,111,025
  5. Step 5: Solve for x
    x = 791,913,111,025/560,048
  6. Step 6: Final answer
    x = 1,414,009.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.