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Finding the Third Proportional to 966,634 and 1,420,363.50

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Solution

The third proportional to 966,634 and 1,420,363.50 is: 2,087,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,634 : 1,420,363.50 = 1,420,363.50 : x
  2. Step 2: Convert to fraction form
    966,634/1,420,363.50 = 1,420,363.50/x
  3. Step 3: Cross multiply
    966,634x = 1,420,363.50 × 1,420,363.50
  4. Step 4: Simplify right side
    966,634x = 2,017,432,472,132.25
  5. Step 5: Solve for x
    x = 2,017,432,472,132.25/966,634
  6. Step 6: Final answer
    x = 2,087,069.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.