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Finding the Third Proportional to 459,747 and 907,704

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Solution

The third proportional to 459,747 and 907,704 is: 1,792,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,747 : 907,704 = 907,704 : x
  2. Step 2: Convert to fraction form
    459,747/907,704 = 907,704/x
  3. Step 3: Cross multiply
    459,747x = 907,704 × 907,704
  4. Step 4: Simplify right side
    459,747x = 823,926,551,616
  5. Step 5: Solve for x
    x = 823,926,551,616/459,747
  6. Step 6: Final answer
    x = 1,792,130.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.