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Finding the Third Proportional to 930,210 and 1,402,131

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Solution

The third proportional to 930,210 and 1,402,131 is: 2,113,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,210 : 1,402,131 = 1,402,131 : x
  2. Step 2: Convert to fraction form
    930,210/1,402,131 = 1,402,131/x
  3. Step 3: Cross multiply
    930,210x = 1,402,131 × 1,402,131
  4. Step 4: Simplify right side
    930,210x = 1,965,971,341,161
  5. Step 5: Solve for x
    x = 1,965,971,341,161/930,210
  6. Step 6: Final answer
    x = 2,113,470.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.