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Finding the Third Proportional to 616,288 and 1,346,012

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Solution

The third proportional to 616,288 and 1,346,012 is: 2,939,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,288 : 1,346,012 = 1,346,012 : x
  2. Step 2: Convert to fraction form
    616,288/1,346,012 = 1,346,012/x
  3. Step 3: Cross multiply
    616,288x = 1,346,012 × 1,346,012
  4. Step 4: Simplify right side
    616,288x = 1,811,748,304,144
  5. Step 5: Solve for x
    x = 1,811,748,304,144/616,288
  6. Step 6: Final answer
    x = 2,939,775.40

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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.