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Finding the Third Proportional to 868,420 and 1,830,152

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Solution

The third proportional to 868,420 and 1,830,152 is: 3,856,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,420 : 1,830,152 = 1,830,152 : x
  2. Step 2: Convert to fraction form
    868,420/1,830,152 = 1,830,152/x
  3. Step 3: Cross multiply
    868,420x = 1,830,152 × 1,830,152
  4. Step 4: Simplify right side
    868,420x = 3,349,456,343,104
  5. Step 5: Solve for x
    x = 3,349,456,343,104/868,420
  6. Step 6: Final answer
    x = 3,856,954.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.