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Finding the Third Proportional to 664,236 and 1,057,444.88

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Solution

The third proportional to 664,236 and 1,057,444.88 is: 1,683,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,236 : 1,057,444.88 = 1,057,444.88 : x
  2. Step 2: Convert to fraction form
    664,236/1,057,444.88 = 1,057,444.88/x
  3. Step 3: Cross multiply
    664,236x = 1,057,444.88 × 1,057,444.88
  4. Step 4: Simplify right side
    664,236x = 1,118,189,663,663.77
  5. Step 5: Solve for x
    x = 1,118,189,663,663.77/664,236
  6. Step 6: Final answer
    x = 1,683,422.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.