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Finding the Third Proportional to 668,114 and 907,712

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Solution

The third proportional to 668,114 and 907,712 is: 1,233,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,114 : 907,712 = 907,712 : x
  2. Step 2: Convert to fraction form
    668,114/907,712 = 907,712/x
  3. Step 3: Cross multiply
    668,114x = 907,712 × 907,712
  4. Step 4: Simplify right side
    668,114x = 823,941,074,944
  5. Step 5: Solve for x
    x = 823,941,074,944/668,114
  6. Step 6: Final answer
    x = 1,233,234.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.