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Finding the Third Proportional to 572,374 and 1,243,084

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Solution

The third proportional to 572,374 and 1,243,084 is: 2,699,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,374 : 1,243,084 = 1,243,084 : x
  2. Step 2: Convert to fraction form
    572,374/1,243,084 = 1,243,084/x
  3. Step 3: Cross multiply
    572,374x = 1,243,084 × 1,243,084
  4. Step 4: Simplify right side
    572,374x = 1,545,257,831,056
  5. Step 5: Solve for x
    x = 1,545,257,831,056/572,374
  6. Step 6: Final answer
    x = 2,699,734.49

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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.