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Finding the Third Proportional to 834,346 and 1,292,511

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Solution

The third proportional to 834,346 and 1,292,511 is: 2,002,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,346 : 1,292,511 = 1,292,511 : x
  2. Step 2: Convert to fraction form
    834,346/1,292,511 = 1,292,511/x
  3. Step 3: Cross multiply
    834,346x = 1,292,511 × 1,292,511
  4. Step 4: Simplify right side
    834,346x = 1,670,584,685,121
  5. Step 5: Solve for x
    x = 1,670,584,685,121/834,346
  6. Step 6: Final answer
    x = 2,002,268.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.