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Finding the Third Proportional to 786,564 and 1,202,769

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Solution

The third proportional to 786,564 and 1,202,769 is: 1,839,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,564 : 1,202,769 = 1,202,769 : x
  2. Step 2: Convert to fraction form
    786,564/1,202,769 = 1,202,769/x
  3. Step 3: Cross multiply
    786,564x = 1,202,769 × 1,202,769
  4. Step 4: Simplify right side
    786,564x = 1,446,653,267,361
  5. Step 5: Solve for x
    x = 1,446,653,267,361/786,564
  6. Step 6: Final answer
    x = 1,839,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.