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Finding the Third Proportional to 4,526,825 and 6,832,746

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Solution

The third proportional to 4,526,825 and 6,832,746 is: 10,313,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,825 : 6,832,746 = 6,832,746 : x
  2. Step 2: Convert to fraction form
    4,526,825/6,832,746 = 6,832,746/x
  3. Step 3: Cross multiply
    4,526,825x = 6,832,746 × 6,832,746
  4. Step 4: Simplify right side
    4,526,825x = 46,686,417,900,516
  5. Step 5: Solve for x
    x = 46,686,417,900,516/4,526,825
  6. Step 6: Final answer
    x = 10,313,280.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.