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Finding the Third Proportional to 540,940 and 842,028

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Solution

The third proportional to 540,940 and 842,028 is: 1,310,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,940 : 842,028 = 842,028 : x
  2. Step 2: Convert to fraction form
    540,940/842,028 = 842,028/x
  3. Step 3: Cross multiply
    540,940x = 842,028 × 842,028
  4. Step 4: Simplify right side
    540,940x = 709,011,152,784
  5. Step 5: Solve for x
    x = 709,011,152,784/540,940
  6. Step 6: Final answer
    x = 1,310,702.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.