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Finding the Third Proportional to 677,817 and 1,460,691

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Solution

The third proportional to 677,817 and 1,460,691 is: 3,147,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,817 : 1,460,691 = 1,460,691 : x
  2. Step 2: Convert to fraction form
    677,817/1,460,691 = 1,460,691/x
  3. Step 3: Cross multiply
    677,817x = 1,460,691 × 1,460,691
  4. Step 4: Simplify right side
    677,817x = 2,133,618,197,481
  5. Step 5: Solve for x
    x = 2,133,618,197,481/677,817
  6. Step 6: Final answer
    x = 3,147,779.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.