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Finding the Third Proportional to 540,921 and 840,865.50

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Solution

The third proportional to 540,921 and 840,865.50 is: 1,307,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,921 : 840,865.50 = 840,865.50 : x
  2. Step 2: Convert to fraction form
    540,921/840,865.50 = 840,865.50/x
  3. Step 3: Cross multiply
    540,921x = 840,865.50 × 840,865.50
  4. Step 4: Simplify right side
    540,921x = 707,054,789,090.25
  5. Step 5: Solve for x
    x = 707,054,789,090.25/540,921
  6. Step 6: Final answer
    x = 1,307,131.34

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