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Finding the Third Proportional to 581,672 and 1,246,288

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Solution

The third proportional to 581,672 and 1,246,288 is: 2,670,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,672 : 1,246,288 = 1,246,288 : x
  2. Step 2: Convert to fraction form
    581,672/1,246,288 = 1,246,288/x
  3. Step 3: Cross multiply
    581,672x = 1,246,288 × 1,246,288
  4. Step 4: Simplify right side
    581,672x = 1,553,233,778,944
  5. Step 5: Solve for x
    x = 1,553,233,778,944/581,672
  6. Step 6: Final answer
    x = 2,670,291.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.