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Finding the Third Proportional to 584,788 and 1,215,544

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Solution

The third proportional to 584,788 and 1,215,544 is: 2,526,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,788 : 1,215,544 = 1,215,544 : x
  2. Step 2: Convert to fraction form
    584,788/1,215,544 = 1,215,544/x
  3. Step 3: Cross multiply
    584,788x = 1,215,544 × 1,215,544
  4. Step 4: Simplify right side
    584,788x = 1,477,547,215,936
  5. Step 5: Solve for x
    x = 1,477,547,215,936/584,788
  6. Step 6: Final answer
    x = 2,526,637.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.