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Finding the Third Proportional to 710,413 and 1,521,589

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Solution

The third proportional to 710,413 and 1,521,589 is: 3,258,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,413 : 1,521,589 = 1,521,589 : x
  2. Step 2: Convert to fraction form
    710,413/1,521,589 = 1,521,589/x
  3. Step 3: Cross multiply
    710,413x = 1,521,589 × 1,521,589
  4. Step 4: Simplify right side
    710,413x = 2,315,233,084,921
  5. Step 5: Solve for x
    x = 2,315,233,084,921/710,413
  6. Step 6: Final answer
    x = 3,258,995.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.