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Finding the Third Proportional to 723,537 and 1,575,647

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Solution

The third proportional to 723,537 and 1,575,647 is: 3,431,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,537 : 1,575,647 = 1,575,647 : x
  2. Step 2: Convert to fraction form
    723,537/1,575,647 = 1,575,647/x
  3. Step 3: Cross multiply
    723,537x = 1,575,647 × 1,575,647
  4. Step 4: Simplify right side
    723,537x = 2,482,663,468,609
  5. Step 5: Solve for x
    x = 2,482,663,468,609/723,537
  6. Step 6: Final answer
    x = 3,431,287.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.