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Finding the Third Proportional to 671,930 and 1,461,959

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Solution

The third proportional to 671,930 and 1,461,959 is: 3,180,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,930 : 1,461,959 = 1,461,959 : x
  2. Step 2: Convert to fraction form
    671,930/1,461,959 = 1,461,959/x
  3. Step 3: Cross multiply
    671,930x = 1,461,959 × 1,461,959
  4. Step 4: Simplify right side
    671,930x = 2,137,324,117,681
  5. Step 5: Solve for x
    x = 2,137,324,117,681/671,930
  6. Step 6: Final answer
    x = 3,180,873.18

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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.