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Finding the Third Proportional to 732,844 and 1,614,770

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Solution

The third proportional to 732,844 and 1,614,770 is: 3,558,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,844 : 1,614,770 = 1,614,770 : x
  2. Step 2: Convert to fraction form
    732,844/1,614,770 = 1,614,770/x
  3. Step 3: Cross multiply
    732,844x = 1,614,770 × 1,614,770
  4. Step 4: Simplify right side
    732,844x = 2,607,482,152,900
  5. Step 5: Solve for x
    x = 2,607,482,152,900/732,844
  6. Step 6: Final answer
    x = 3,558,031.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.