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Finding the Third Proportional to 710,416 and 1,521,912

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Solution

The third proportional to 710,416 and 1,521,912 is: 3,260,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,416 : 1,521,912 = 1,521,912 : x
  2. Step 2: Convert to fraction form
    710,416/1,521,912 = 1,521,912/x
  3. Step 3: Cross multiply
    710,416x = 1,521,912 × 1,521,912
  4. Step 4: Simplify right side
    710,416x = 2,316,216,135,744
  5. Step 5: Solve for x
    x = 2,316,216,135,744/710,416
  6. Step 6: Final answer
    x = 3,260,365.95

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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.