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Finding the Third Proportional to 723,535 and 1,575,643

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Solution

The third proportional to 723,535 and 1,575,643 is: 3,431,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,535 : 1,575,643 = 1,575,643 : x
  2. Step 2: Convert to fraction form
    723,535/1,575,643 = 1,575,643/x
  3. Step 3: Cross multiply
    723,535x = 1,575,643 × 1,575,643
  4. Step 4: Simplify right side
    723,535x = 2,482,650,863,449
  5. Step 5: Solve for x
    x = 2,482,650,863,449/723,535
  6. Step 6: Final answer
    x = 3,431,279.57

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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.