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Finding the Third Proportional to 702,983 and 1,534,549

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Solution

The third proportional to 702,983 and 1,534,549 is: 3,349,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,983 : 1,534,549 = 1,534,549 : x
  2. Step 2: Convert to fraction form
    702,983/1,534,549 = 1,534,549/x
  3. Step 3: Cross multiply
    702,983x = 1,534,549 × 1,534,549
  4. Step 4: Simplify right side
    702,983x = 2,354,840,633,401
  5. Step 5: Solve for x
    x = 2,354,840,633,401/702,983
  6. Step 6: Final answer
    x = 3,349,783.19

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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.