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Finding the Third Proportional to 966,648 and 1,420,365

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Solution

The third proportional to 966,648 and 1,420,365 is: 2,087,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,648 : 1,420,365 = 1,420,365 : x
  2. Step 2: Convert to fraction form
    966,648/1,420,365 = 1,420,365/x
  3. Step 3: Cross multiply
    966,648x = 1,420,365 × 1,420,365
  4. Step 4: Simplify right side
    966,648x = 2,017,436,733,225
  5. Step 5: Solve for x
    x = 2,017,436,733,225/966,648
  6. Step 6: Final answer
    x = 2,087,043.82

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Why These Related Problems?

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