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Finding the Third Proportional to 714,770 and 1,569,509

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Solution

The third proportional to 714,770 and 1,569,509 is: 3,446,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,770 : 1,569,509 = 1,569,509 : x
  2. Step 2: Convert to fraction form
    714,770/1,569,509 = 1,569,509/x
  3. Step 3: Cross multiply
    714,770x = 1,569,509 × 1,569,509
  4. Step 4: Simplify right side
    714,770x = 2,463,358,501,081
  5. Step 5: Solve for x
    x = 2,463,358,501,081/714,770
  6. Step 6: Final answer
    x = 3,446,365.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.