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Finding the Third Proportional to 779,073 and 1,217,817

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Solution

The third proportional to 779,073 and 1,217,817 is: 1,903,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,073 : 1,217,817 = 1,217,817 : x
  2. Step 2: Convert to fraction form
    779,073/1,217,817 = 1,217,817/x
  3. Step 3: Cross multiply
    779,073x = 1,217,817 × 1,217,817
  4. Step 4: Simplify right side
    779,073x = 1,483,078,245,489
  5. Step 5: Solve for x
    x = 1,483,078,245,489/779,073
  6. Step 6: Final answer
    x = 1,903,644.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.