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Finding the Third Proportional to 930,430 and 1,475,722

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Solution

The third proportional to 930,430 and 1,475,722 is: 2,340,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,430 : 1,475,722 = 1,475,722 : x
  2. Step 2: Convert to fraction form
    930,430/1,475,722 = 1,475,722/x
  3. Step 3: Cross multiply
    930,430x = 1,475,722 × 1,475,722
  4. Step 4: Simplify right side
    930,430x = 2,177,755,421,284
  5. Step 5: Solve for x
    x = 2,177,755,421,284/930,430
  6. Step 6: Final answer
    x = 2,340,590.29

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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.