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Finding the Third Proportional to 710,039 and 1,550,180

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Solution

The third proportional to 710,039 and 1,550,180 is: 3,384,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,039 : 1,550,180 = 1,550,180 : x
  2. Step 2: Convert to fraction form
    710,039/1,550,180 = 1,550,180/x
  3. Step 3: Cross multiply
    710,039x = 1,550,180 × 1,550,180
  4. Step 4: Simplify right side
    710,039x = 2,403,058,032,400
  5. Step 5: Solve for x
    x = 2,403,058,032,400/710,039
  6. Step 6: Final answer
    x = 3,384,402.87

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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.