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Finding the Third Proportional to 460,854 and 958,495

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Solution

The third proportional to 460,854 and 958,495 is: 1,993,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,854 : 958,495 = 958,495 : x
  2. Step 2: Convert to fraction form
    460,854/958,495 = 958,495/x
  3. Step 3: Cross multiply
    460,854x = 958,495 × 958,495
  4. Step 4: Simplify right side
    460,854x = 918,712,665,025
  5. Step 5: Solve for x
    x = 918,712,665,025/460,854
  6. Step 6: Final answer
    x = 1,993,500.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.