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Finding the Third Proportional to 910,956 and 1,447,533

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Solution

The third proportional to 910,956 and 1,447,533 is: 2,300,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,956 : 1,447,533 = 1,447,533 : x
  2. Step 2: Convert to fraction form
    910,956/1,447,533 = 1,447,533/x
  3. Step 3: Cross multiply
    910,956x = 1,447,533 × 1,447,533
  4. Step 4: Simplify right side
    910,956x = 2,095,351,786,089
  5. Step 5: Solve for x
    x = 2,095,351,786,089/910,956
  6. Step 6: Final answer
    x = 2,300,167.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.