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Finding the Third Proportional to 966,643.50 and 1,420,359

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Solution

The third proportional to 966,643.50 and 1,420,359 is: 2,087,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,643.50 : 1,420,359 = 1,420,359 : x
  2. Step 2: Convert to fraction form
    966,643.50/1,420,359 = 1,420,359/x
  3. Step 3: Cross multiply
    966,643.50x = 1,420,359 × 1,420,359
  4. Step 4: Simplify right side
    966,643.50x = 2,017,419,688,881
  5. Step 5: Solve for x
    x = 2,017,419,688,881/966,643.50
  6. Step 6: Final answer
    x = 2,087,035.90

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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.