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Finding the Third Proportional to 1,457,541 and 3,202,038

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Solution

The third proportional to 1,457,541 and 3,202,038 is: 7,034,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,541 : 3,202,038 = 3,202,038 : x
  2. Step 2: Convert to fraction form
    1,457,541/3,202,038 = 3,202,038/x
  3. Step 3: Cross multiply
    1,457,541x = 3,202,038 × 3,202,038
  4. Step 4: Simplify right side
    1,457,541x = 10,253,047,353,444
  5. Step 5: Solve for x
    x = 10,253,047,353,444/1,457,541
  6. Step 6: Final answer
    x = 7,034,482.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.