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Finding the Third Proportional to 786,480 and 1,183,609

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Solution

The third proportional to 786,480 and 1,183,609 is: 1,781,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,480 : 1,183,609 = 1,183,609 : x
  2. Step 2: Convert to fraction form
    786,480/1,183,609 = 1,183,609/x
  3. Step 3: Cross multiply
    786,480x = 1,183,609 × 1,183,609
  4. Step 4: Simplify right side
    786,480x = 1,400,930,264,881
  5. Step 5: Solve for x
    x = 1,400,930,264,881/786,480
  6. Step 6: Final answer
    x = 1,781,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.