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Finding the Third Proportional to 3,111,258 and 4,666,971

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Solution

The third proportional to 3,111,258 and 4,666,971 is: 7,000,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111,258 : 4,666,971 = 4,666,971 : x
  2. Step 2: Convert to fraction form
    3,111,258/4,666,971 = 4,666,971/x
  3. Step 3: Cross multiply
    3,111,258x = 4,666,971 × 4,666,971
  4. Step 4: Simplify right side
    3,111,258x = 21,780,618,314,841
  5. Step 5: Solve for x
    x = 21,780,618,314,841/3,111,258
  6. Step 6: Final answer
    x = 7,000,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.