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Finding the Third Proportional to 561,546 and 842,043

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Solution

The third proportional to 561,546 and 842,043 is: 1,262,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,546 : 842,043 = 842,043 : x
  2. Step 2: Convert to fraction form
    561,546/842,043 = 842,043/x
  3. Step 3: Cross multiply
    561,546x = 842,043 × 842,043
  4. Step 4: Simplify right side
    561,546x = 709,036,413,849
  5. Step 5: Solve for x
    x = 709,036,413,849/561,546
  6. Step 6: Final answer
    x = 1,262,650.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.