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Finding the Third Proportional to 603,537 and 1,256,607

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Solution

The third proportional to 603,537 and 1,256,607 is: 2,616,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,537 : 1,256,607 = 1,256,607 : x
  2. Step 2: Convert to fraction form
    603,537/1,256,607 = 1,256,607/x
  3. Step 3: Cross multiply
    603,537x = 1,256,607 × 1,256,607
  4. Step 4: Simplify right side
    603,537x = 1,579,061,152,449
  5. Step 5: Solve for x
    x = 1,579,061,152,449/603,537
  6. Step 6: Final answer
    x = 2,616,345.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.