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Finding the Third Proportional to 666,457 and 952,347

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Solution

The third proportional to 666,457 and 952,347 is: 1,360,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,457 : 952,347 = 952,347 : x
  2. Step 2: Convert to fraction form
    666,457/952,347 = 952,347/x
  3. Step 3: Cross multiply
    666,457x = 952,347 × 952,347
  4. Step 4: Simplify right side
    666,457x = 906,964,808,409
  5. Step 5: Solve for x
    x = 906,964,808,409/666,457
  6. Step 6: Final answer
    x = 1,360,875.21

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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.