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Finding the Third Proportional to 586,048 and 1,203,164

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Solution

The third proportional to 586,048 and 1,203,164 is: 2,470,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,048 : 1,203,164 = 1,203,164 : x
  2. Step 2: Convert to fraction form
    586,048/1,203,164 = 1,203,164/x
  3. Step 3: Cross multiply
    586,048x = 1,203,164 × 1,203,164
  4. Step 4: Simplify right side
    586,048x = 1,447,603,610,896
  5. Step 5: Solve for x
    x = 1,447,603,610,896/586,048
  6. Step 6: Final answer
    x = 2,470,111.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.