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Finding the Third Proportional to 584,943 and 1,265,837

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Solution

The third proportional to 584,943 and 1,265,837 is: 2,739,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,943 : 1,265,837 = 1,265,837 : x
  2. Step 2: Convert to fraction form
    584,943/1,265,837 = 1,265,837/x
  3. Step 3: Cross multiply
    584,943x = 1,265,837 × 1,265,837
  4. Step 4: Simplify right side
    584,943x = 1,602,343,310,569
  5. Step 5: Solve for x
    x = 1,602,343,310,569/584,943
  6. Step 6: Final answer
    x = 2,739,315.30

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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.