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Finding the Third Proportional to 963,594 and 2,035,716

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Solution

The third proportional to 963,594 and 2,035,716 is: 4,300,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,594 : 2,035,716 = 2,035,716 : x
  2. Step 2: Convert to fraction form
    963,594/2,035,716 = 2,035,716/x
  3. Step 3: Cross multiply
    963,594x = 2,035,716 × 2,035,716
  4. Step 4: Simplify right side
    963,594x = 4,144,139,632,656
  5. Step 5: Solve for x
    x = 4,144,139,632,656/963,594
  6. Step 6: Final answer
    x = 4,300,711.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.