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Finding the Third Proportional to 638,636 and 958,046

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Solution

The third proportional to 638,636 and 958,046 is: 1,437,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,636 : 958,046 = 958,046 : x
  2. Step 2: Convert to fraction form
    638,636/958,046 = 958,046/x
  3. Step 3: Cross multiply
    638,636x = 958,046 × 958,046
  4. Step 4: Simplify right side
    638,636x = 917,852,138,116
  5. Step 5: Solve for x
    x = 917,852,138,116/638,636
  6. Step 6: Final answer
    x = 1,437,207.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.