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Finding the Third Proportional to 546,117 and 854,815.50

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Solution

The third proportional to 546,117 and 854,815.50 is: 1,338,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,117 : 854,815.50 = 854,815.50 : x
  2. Step 2: Convert to fraction form
    546,117/854,815.50 = 854,815.50/x
  3. Step 3: Cross multiply
    546,117x = 854,815.50 × 854,815.50
  4. Step 4: Simplify right side
    546,117x = 730,709,539,040.25
  5. Step 5: Solve for x
    x = 730,709,539,040.25/546,117
  6. Step 6: Final answer
    x = 1,338,009.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.