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Finding the Third Proportional to 813,080 and 1,190,460

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Solution

The third proportional to 813,080 and 1,190,460 is: 1,742,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,080 : 1,190,460 = 1,190,460 : x
  2. Step 2: Convert to fraction form
    813,080/1,190,460 = 1,190,460/x
  3. Step 3: Cross multiply
    813,080x = 1,190,460 × 1,190,460
  4. Step 4: Simplify right side
    813,080x = 1,417,195,011,600
  5. Step 5: Solve for x
    x = 1,417,195,011,600/813,080
  6. Step 6: Final answer
    x = 1,742,995.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.