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Finding the Third Proportional to 2,967,528 and 4,465,213

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Solution

The third proportional to 2,967,528 and 4,465,213 is: 6,718,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,528 : 4,465,213 = 4,465,213 : x
  2. Step 2: Convert to fraction form
    2,967,528/4,465,213 = 4,465,213/x
  3. Step 3: Cross multiply
    2,967,528x = 4,465,213 × 4,465,213
  4. Step 4: Simplify right side
    2,967,528x = 19,938,127,135,369
  5. Step 5: Solve for x
    x = 19,938,127,135,369/2,967,528
  6. Step 6: Final answer
    x = 6,718,766.30

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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.