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Finding the Third Proportional to 779,804 and 1,178,202

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Solution

The third proportional to 779,804 and 1,178,202 is: 1,780,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,804 : 1,178,202 = 1,178,202 : x
  2. Step 2: Convert to fraction form
    779,804/1,178,202 = 1,178,202/x
  3. Step 3: Cross multiply
    779,804x = 1,178,202 × 1,178,202
  4. Step 4: Simplify right side
    779,804x = 1,388,159,952,804
  5. Step 5: Solve for x
    x = 1,388,159,952,804/779,804
  6. Step 6: Final answer
    x = 1,780,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.