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Finding the Third Proportional to 607,311 and 1,298,715

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Solution

The third proportional to 607,311 and 1,298,715 is: 2,777,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,311 : 1,298,715 = 1,298,715 : x
  2. Step 2: Convert to fraction form
    607,311/1,298,715 = 1,298,715/x
  3. Step 3: Cross multiply
    607,311x = 1,298,715 × 1,298,715
  4. Step 4: Simplify right side
    607,311x = 1,686,660,651,225
  5. Step 5: Solve for x
    x = 1,686,660,651,225/607,311
  6. Step 6: Final answer
    x = 2,777,260.17

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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.