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Finding the Third Proportional to 710,013 and 970,028

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Solution

The third proportional to 710,013 and 970,028 is: 1,325,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,013 : 970,028 = 970,028 : x
  2. Step 2: Convert to fraction form
    710,013/970,028 = 970,028/x
  3. Step 3: Cross multiply
    710,013x = 970,028 × 970,028
  4. Step 4: Simplify right side
    710,013x = 940,954,320,784
  5. Step 5: Solve for x
    x = 940,954,320,784/710,013
  6. Step 6: Final answer
    x = 1,325,263.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.