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Finding the Third Proportional to 668,817 and 1,455,732

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Solution

The third proportional to 668,817 and 1,455,732 is: 3,168,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,817 : 1,455,732 = 1,455,732 : x
  2. Step 2: Convert to fraction form
    668,817/1,455,732 = 1,455,732/x
  3. Step 3: Cross multiply
    668,817x = 1,455,732 × 1,455,732
  4. Step 4: Simplify right side
    668,817x = 2,119,155,655,824
  5. Step 5: Solve for x
    x = 2,119,155,655,824/668,817
  6. Step 6: Final answer
    x = 3,168,513.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.