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Finding the Third Proportional to 581,670 and 1,230,408

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Solution

The third proportional to 581,670 and 1,230,408 is: 2,602,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,670 : 1,230,408 = 1,230,408 : x
  2. Step 2: Convert to fraction form
    581,670/1,230,408 = 1,230,408/x
  3. Step 3: Cross multiply
    581,670x = 1,230,408 × 1,230,408
  4. Step 4: Simplify right side
    581,670x = 1,513,903,846,464
  5. Step 5: Solve for x
    x = 1,513,903,846,464/581,670
  6. Step 6: Final answer
    x = 2,602,685.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.