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Finding the Third Proportional to 1,441,080 and 2,210,463

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Solution

The third proportional to 1,441,080 and 2,210,463 is: 3,390,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,080 : 2,210,463 = 2,210,463 : x
  2. Step 2: Convert to fraction form
    1,441,080/2,210,463 = 2,210,463/x
  3. Step 3: Cross multiply
    1,441,080x = 2,210,463 × 2,210,463
  4. Step 4: Simplify right side
    1,441,080x = 4,886,146,674,369
  5. Step 5: Solve for x
    x = 4,886,146,674,369/1,441,080
  6. Step 6: Final answer
    x = 3,390,614.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.