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Finding the Third Proportional to 2,098,575 and 4,518,220

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Solution

The third proportional to 2,098,575 and 4,518,220 is: 9,727,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,575 : 4,518,220 = 4,518,220 : x
  2. Step 2: Convert to fraction form
    2,098,575/4,518,220 = 4,518,220/x
  3. Step 3: Cross multiply
    2,098,575x = 4,518,220 × 4,518,220
  4. Step 4: Simplify right side
    2,098,575x = 20,414,311,968,400
  5. Step 5: Solve for x
    x = 20,414,311,968,400/2,098,575
  6. Step 6: Final answer
    x = 9,727,701.88

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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.