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Finding the Third Proportional to 426,776 and 919,712

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Solution

The third proportional to 426,776 and 919,712 is: 1,982,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,776 : 919,712 = 919,712 : x
  2. Step 2: Convert to fraction form
    426,776/919,712 = 919,712/x
  3. Step 3: Cross multiply
    426,776x = 919,712 × 919,712
  4. Step 4: Simplify right side
    426,776x = 845,870,162,944
  5. Step 5: Solve for x
    x = 845,870,162,944/426,776
  6. Step 6: Final answer
    x = 1,982,000.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.