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Finding the Third Proportional to 546,233 and 1,136,066

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Solution

The third proportional to 546,233 and 1,136,066 is: 2,362,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,233 : 1,136,066 = 1,136,066 : x
  2. Step 2: Convert to fraction form
    546,233/1,136,066 = 1,136,066/x
  3. Step 3: Cross multiply
    546,233x = 1,136,066 × 1,136,066
  4. Step 4: Simplify right side
    546,233x = 1,290,645,956,356
  5. Step 5: Solve for x
    x = 1,290,645,956,356/546,233
  6. Step 6: Final answer
    x = 2,362,812.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.