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Finding the Third Proportional to 723,521 and 1,575,616

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Solution

The third proportional to 723,521 and 1,575,616 is: 3,431,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,521 : 1,575,616 = 1,575,616 : x
  2. Step 2: Convert to fraction form
    723,521/1,575,616 = 1,575,616/x
  3. Step 3: Cross multiply
    723,521x = 1,575,616 × 1,575,616
  4. Step 4: Simplify right side
    723,521x = 2,482,565,779,456
  5. Step 5: Solve for x
    x = 2,482,565,779,456/723,521
  6. Step 6: Final answer
    x = 3,431,228.37

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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.