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Finding the Third Proportional to 915,786 and 1,346,301

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Solution

The third proportional to 915,786 and 1,346,301 is: 1,979,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,786 : 1,346,301 = 1,346,301 : x
  2. Step 2: Convert to fraction form
    915,786/1,346,301 = 1,346,301/x
  3. Step 3: Cross multiply
    915,786x = 1,346,301 × 1,346,301
  4. Step 4: Simplify right side
    915,786x = 1,812,526,382,601
  5. Step 5: Solve for x
    x = 1,812,526,382,601/915,786
  6. Step 6: Final answer
    x = 1,979,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.