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Finding the Third Proportional to 642,421 and 903,870.50

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Solution

The third proportional to 642,421 and 903,870.50 is: 1,271,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,421 : 903,870.50 = 903,870.50 : x
  2. Step 2: Convert to fraction form
    642,421/903,870.50 = 903,870.50/x
  3. Step 3: Cross multiply
    642,421x = 903,870.50 × 903,870.50
  4. Step 4: Simplify right side
    642,421x = 816,981,880,770.25
  5. Step 5: Solve for x
    x = 816,981,880,770.25/642,421
  6. Step 6: Final answer
    x = 1,271,723.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.