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Finding the Third Proportional to 745,864 and 1,609,664

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Solution

The third proportional to 745,864 and 1,609,664 is: 3,473,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,864 : 1,609,664 = 1,609,664 : x
  2. Step 2: Convert to fraction form
    745,864/1,609,664 = 1,609,664/x
  3. Step 3: Cross multiply
    745,864x = 1,609,664 × 1,609,664
  4. Step 4: Simplify right side
    745,864x = 2,591,018,192,896
  5. Step 5: Solve for x
    x = 2,591,018,192,896/745,864
  6. Step 6: Final answer
    x = 3,473,848.04

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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.