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Finding the Third Proportional to 584,945 and 1,265,841

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Solution

The third proportional to 584,945 and 1,265,841 is: 2,739,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,945 : 1,265,841 = 1,265,841 : x
  2. Step 2: Convert to fraction form
    584,945/1,265,841 = 1,265,841/x
  3. Step 3: Cross multiply
    584,945x = 1,265,841 × 1,265,841
  4. Step 4: Simplify right side
    584,945x = 1,602,353,437,281
  5. Step 5: Solve for x
    x = 1,602,353,437,281/584,945
  6. Step 6: Final answer
    x = 2,739,323.25

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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.