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Finding the Third Proportional to 530,631 and 1,145,734.24

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Solution

The third proportional to 530,631 and 1,145,734.24 is: 2,473,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,631 : 1,145,734.24 = 1,145,734.24 : x
  2. Step 2: Convert to fraction form
    530,631/1,145,734.24 = 1,145,734.24/x
  3. Step 3: Cross multiply
    530,631x = 1,145,734.24 × 1,145,734.24
  4. Step 4: Simplify right side
    530,631x = 1,312,706,953,720.96
  5. Step 5: Solve for x
    x = 1,312,706,953,720.96/530,631
  6. Step 6: Final answer
    x = 2,473,860.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.