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Finding the Third Proportional to 545,810 and 842,043

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Solution

The third proportional to 545,810 and 842,043 is: 1,299,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,810 : 842,043 = 842,043 : x
  2. Step 2: Convert to fraction form
    545,810/842,043 = 842,043/x
  3. Step 3: Cross multiply
    545,810x = 842,043 × 842,043
  4. Step 4: Simplify right side
    545,810x = 709,036,413,849
  5. Step 5: Solve for x
    x = 709,036,413,849/545,810
  6. Step 6: Final answer
    x = 1,299,053.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.