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Finding the Third Proportional to 468,639 and 970,510.50

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Solution

The third proportional to 468,639 and 970,510.50 is: 2,009,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,639 : 970,510.50 = 970,510.50 : x
  2. Step 2: Convert to fraction form
    468,639/970,510.50 = 970,510.50/x
  3. Step 3: Cross multiply
    468,639x = 970,510.50 × 970,510.50
  4. Step 4: Simplify right side
    468,639x = 941,890,630,610.25
  5. Step 5: Solve for x
    x = 941,890,630,610.25/468,639
  6. Step 6: Final answer
    x = 2,009,842.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.