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Finding the Third Proportional to 572,342 and 1,243,095

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Solution

The third proportional to 572,342 and 1,243,095 is: 2,699,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,342 : 1,243,095 = 1,243,095 : x
  2. Step 2: Convert to fraction form
    572,342/1,243,095 = 1,243,095/x
  3. Step 3: Cross multiply
    572,342x = 1,243,095 × 1,243,095
  4. Step 4: Simplify right side
    572,342x = 1,545,285,179,025
  5. Step 5: Solve for x
    x = 1,545,285,179,025/572,342
  6. Step 6: Final answer
    x = 2,699,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.