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Finding the Third Proportional to 568,303 and 1,243,633

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Solution

The third proportional to 568,303 and 1,243,633 is: 2,721,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,303 : 1,243,633 = 1,243,633 : x
  2. Step 2: Convert to fraction form
    568,303/1,243,633 = 1,243,633/x
  3. Step 3: Cross multiply
    568,303x = 1,243,633 × 1,243,633
  4. Step 4: Simplify right side
    568,303x = 1,546,623,038,689
  5. Step 5: Solve for x
    x = 1,546,623,038,689/568,303
  6. Step 6: Final answer
    x = 2,721,476.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.