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Finding the Third Proportional to 498,038 and 1,066,060

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Solution

The third proportional to 498,038 and 1,066,060 is: 2,281,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,038 : 1,066,060 = 1,066,060 : x
  2. Step 2: Convert to fraction form
    498,038/1,066,060 = 1,066,060/x
  3. Step 3: Cross multiply
    498,038x = 1,066,060 × 1,066,060
  4. Step 4: Simplify right side
    498,038x = 1,136,483,923,600
  5. Step 5: Solve for x
    x = 1,136,483,923,600/498,038
  6. Step 6: Final answer
    x = 2,281,922.11

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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.