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Finding the Third Proportional to 498,480 and 1,087,185

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Solution

The third proportional to 498,480 and 1,087,185 is: 2,371,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,480 : 1,087,185 = 1,087,185 : x
  2. Step 2: Convert to fraction form
    498,480/1,087,185 = 1,087,185/x
  3. Step 3: Cross multiply
    498,480x = 1,087,185 × 1,087,185
  4. Step 4: Simplify right side
    498,480x = 1,181,971,224,225
  5. Step 5: Solve for x
    x = 1,181,971,224,225/498,480
  6. Step 6: Final answer
    x = 2,371,150.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.