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Finding the Third Proportional to 907,240 and 1,929,176

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Solution

The third proportional to 907,240 and 1,929,176 is: 4,102,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,240 : 1,929,176 = 1,929,176 : x
  2. Step 2: Convert to fraction form
    907,240/1,929,176 = 1,929,176/x
  3. Step 3: Cross multiply
    907,240x = 1,929,176 × 1,929,176
  4. Step 4: Simplify right side
    907,240x = 3,721,720,038,976
  5. Step 5: Solve for x
    x = 3,721,720,038,976/907,240
  6. Step 6: Final answer
    x = 4,102,244.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.