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Finding the Third Proportional to 652,983 and 1,365,006

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Solution

The third proportional to 652,983 and 1,365,006 is: 2,853,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,983 : 1,365,006 = 1,365,006 : x
  2. Step 2: Convert to fraction form
    652,983/1,365,006 = 1,365,006/x
  3. Step 3: Cross multiply
    652,983x = 1,365,006 × 1,365,006
  4. Step 4: Simplify right side
    652,983x = 1,863,241,380,036
  5. Step 5: Solve for x
    x = 1,863,241,380,036/652,983
  6. Step 6: Final answer
    x = 2,853,430.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.