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Finding the Third Proportional to 582,191,410 and 1,262,613,283

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Solution

The third proportional to 582,191,410 and 1,262,613,283 is: 2,738,261,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,191,410 : 1,262,613,283 = 1,262,613,283 : x
  2. Step 2: Convert to fraction form
    582,191,410/1,262,613,283 = 1,262,613,283/x
  3. Step 3: Cross multiply
    582,191,410x = 1,262,613,283 × 1,262,613,283
  4. Step 4: Simplify right side
    582,191,410x = 1,594,192,302,408,038,144
  5. Step 5: Solve for x
    x = 1,594,192,302,408,038,144/582,191,410
  6. Step 6: Final answer
    x = 2,738,261,463.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.