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Finding the Third Proportional to 2,258,854.50 and 3,441,213

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Solution

The third proportional to 2,258,854.50 and 3,441,213 is: 5,242,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,854.50 : 3,441,213 = 3,441,213 : x
  2. Step 2: Convert to fraction form
    2,258,854.50/3,441,213 = 3,441,213/x
  3. Step 3: Cross multiply
    2,258,854.50x = 3,441,213 × 3,441,213
  4. Step 4: Simplify right side
    2,258,854.50x = 11,841,946,911,369
  5. Step 5: Solve for x
    x = 11,841,946,911,369/2,258,854.50
  6. Step 6: Final answer
    x = 5,242,456.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.