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Finding the Third Proportional to 610,826 and 1,315,306

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Solution

The third proportional to 610,826 and 1,315,306 is: 2,832,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,826 : 1,315,306 = 1,315,306 : x
  2. Step 2: Convert to fraction form
    610,826/1,315,306 = 1,315,306/x
  3. Step 3: Cross multiply
    610,826x = 1,315,306 × 1,315,306
  4. Step 4: Simplify right side
    610,826x = 1,730,029,873,636
  5. Step 5: Solve for x
    x = 1,730,029,873,636/610,826
  6. Step 6: Final answer
    x = 2,832,279.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.