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Finding the Third Proportional to 498,036 and 1,066,056

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Solution

The third proportional to 498,036 and 1,066,056 is: 2,281,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,036 : 1,066,056 = 1,066,056 : x
  2. Step 2: Convert to fraction form
    498,036/1,066,056 = 1,066,056/x
  3. Step 3: Cross multiply
    498,036x = 1,066,056 × 1,066,056
  4. Step 4: Simplify right side
    498,036x = 1,136,475,395,136
  5. Step 5: Solve for x
    x = 1,136,475,395,136/498,036
  6. Step 6: Final answer
    x = 2,281,914.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.