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Finding the Third Proportional to 668,762 and 1,461,940

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Solution

The third proportional to 668,762 and 1,461,940 is: 3,195,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,762 : 1,461,940 = 1,461,940 : x
  2. Step 2: Convert to fraction form
    668,762/1,461,940 = 1,461,940/x
  3. Step 3: Cross multiply
    668,762x = 1,461,940 × 1,461,940
  4. Step 4: Simplify right side
    668,762x = 2,137,268,563,600
  5. Step 5: Solve for x
    x = 2,137,268,563,600/668,762
  6. Step 6: Final answer
    x = 3,195,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.