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Finding the Third Proportional to 779,030 and 1,165,431

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Solution

The third proportional to 779,030 and 1,165,431 is: 1,743,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,030 : 1,165,431 = 1,165,431 : x
  2. Step 2: Convert to fraction form
    779,030/1,165,431 = 1,165,431/x
  3. Step 3: Cross multiply
    779,030x = 1,165,431 × 1,165,431
  4. Step 4: Simplify right side
    779,030x = 1,358,229,415,761
  5. Step 5: Solve for x
    x = 1,358,229,415,761/779,030
  6. Step 6: Final answer
    x = 1,743,487.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.