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Finding the Third Proportional to 456,444 and 926,712

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Solution

The third proportional to 456,444 and 926,712 is: 1,881,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,444 : 926,712 = 926,712 : x
  2. Step 2: Convert to fraction form
    456,444/926,712 = 926,712/x
  3. Step 3: Cross multiply
    456,444x = 926,712 × 926,712
  4. Step 4: Simplify right side
    456,444x = 858,795,130,944
  5. Step 5: Solve for x
    x = 858,795,130,944/456,444
  6. Step 6: Final answer
    x = 1,881,490.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.