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Finding the Third Proportional to 779,769 and 1,675,572

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Solution

The third proportional to 779,769 and 1,675,572 is: 3,600,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,769 : 1,675,572 = 1,675,572 : x
  2. Step 2: Convert to fraction form
    779,769/1,675,572 = 1,675,572/x
  3. Step 3: Cross multiply
    779,769x = 1,675,572 × 1,675,572
  4. Step 4: Simplify right side
    779,769x = 2,807,541,527,184
  5. Step 5: Solve for x
    x = 2,807,541,527,184/779,769
  6. Step 6: Final answer
    x = 3,600,478.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.