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Finding the Third Proportional to 779,072 and 1,217,816

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Solution

The third proportional to 779,072 and 1,217,816 is: 1,903,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,072 : 1,217,816 = 1,217,816 : x
  2. Step 2: Convert to fraction form
    779,072/1,217,816 = 1,217,816/x
  3. Step 3: Cross multiply
    779,072x = 1,217,816 × 1,217,816
  4. Step 4: Simplify right side
    779,072x = 1,483,075,809,856
  5. Step 5: Solve for x
    x = 1,483,075,809,856/779,072
  6. Step 6: Final answer
    x = 1,903,644.09

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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.