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Finding the Third Proportional to 666,495 and 952,421

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Solution

The third proportional to 666,495 and 952,421 is: 1,361,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,495 : 952,421 = 952,421 : x
  2. Step 2: Convert to fraction form
    666,495/952,421 = 952,421/x
  3. Step 3: Cross multiply
    666,495x = 952,421 × 952,421
  4. Step 4: Simplify right side
    666,495x = 907,105,761,241
  5. Step 5: Solve for x
    x = 907,105,761,241/666,495
  6. Step 6: Final answer
    x = 1,361,009.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.