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Finding the Third Proportional to 702,963 and 1,534,509

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Solution

The third proportional to 702,963 and 1,534,509 is: 3,349,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,963 : 1,534,509 = 1,534,509 : x
  2. Step 2: Convert to fraction form
    702,963/1,534,509 = 1,534,509/x
  3. Step 3: Cross multiply
    702,963x = 1,534,509 × 1,534,509
  4. Step 4: Simplify right side
    702,963x = 2,354,717,871,081
  5. Step 5: Solve for x
    x = 2,354,717,871,081/702,963
  6. Step 6: Final answer
    x = 3,349,703.86

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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.