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Finding the Third Proportional to 750,942 and 1,564,012

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Solution

The third proportional to 750,942 and 1,564,012 is: 3,257,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,942 : 1,564,012 = 1,564,012 : x
  2. Step 2: Convert to fraction form
    750,942/1,564,012 = 1,564,012/x
  3. Step 3: Cross multiply
    750,942x = 1,564,012 × 1,564,012
  4. Step 4: Simplify right side
    750,942x = 2,446,133,536,144
  5. Step 5: Solve for x
    x = 2,446,133,536,144/750,942
  6. Step 6: Final answer
    x = 3,257,420.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.