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Finding the Third Proportional to 930,420 and 1,475,706

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Solution

The third proportional to 930,420 and 1,475,706 is: 2,340,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,420 : 1,475,706 = 1,475,706 : x
  2. Step 2: Convert to fraction form
    930,420/1,475,706 = 1,475,706/x
  3. Step 3: Cross multiply
    930,420x = 1,475,706 × 1,475,706
  4. Step 4: Simplify right side
    930,420x = 2,177,708,198,436
  5. Step 5: Solve for x
    x = 2,177,708,198,436/930,420
  6. Step 6: Final answer
    x = 2,340,564.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.