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Finding the Third Proportional to 1,045,325 and 1,472,097

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Solution

The third proportional to 1,045,325 and 1,472,097 is: 2,073,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,325 : 1,472,097 = 1,472,097 : x
  2. Step 2: Convert to fraction form
    1,045,325/1,472,097 = 1,472,097/x
  3. Step 3: Cross multiply
    1,045,325x = 1,472,097 × 1,472,097
  4. Step 4: Simplify right side
    1,045,325x = 2,167,069,577,409
  5. Step 5: Solve for x
    x = 2,167,069,577,409/1,045,325
  6. Step 6: Final answer
    x = 2,073,106.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.