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Finding the Third Proportional to 467,734 and 1,010,313

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Solution

The third proportional to 467,734 and 1,010,313 is: 2,182,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,734 : 1,010,313 = 1,010,313 : x
  2. Step 2: Convert to fraction form
    467,734/1,010,313 = 1,010,313/x
  3. Step 3: Cross multiply
    467,734x = 1,010,313 × 1,010,313
  4. Step 4: Simplify right side
    467,734x = 1,020,732,357,969
  5. Step 5: Solve for x
    x = 1,020,732,357,969/467,734
  6. Step 6: Final answer
    x = 2,182,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.