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Finding the Third Proportional to 2,354,980 and 5,070,810

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Solution

The third proportional to 2,354,980 and 5,070,810 is: 10,918,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,980 : 5,070,810 = 5,070,810 : x
  2. Step 2: Convert to fraction form
    2,354,980/5,070,810 = 5,070,810/x
  3. Step 3: Cross multiply
    2,354,980x = 5,070,810 × 5,070,810
  4. Step 4: Simplify right side
    2,354,980x = 25,713,114,056,100
  5. Step 5: Solve for x
    x = 25,713,114,056,100/2,354,980
  6. Step 6: Final answer
    x = 10,918,612.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.