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Finding the Third Proportional to 1,044,452 and 1,409,210

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Solution

The third proportional to 1,044,452 and 1,409,210 is: 1,901,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044,452 : 1,409,210 = 1,409,210 : x
  2. Step 2: Convert to fraction form
    1,044,452/1,409,210 = 1,409,210/x
  3. Step 3: Cross multiply
    1,044,452x = 1,409,210 × 1,409,210
  4. Step 4: Simplify right side
    1,044,452x = 1,985,872,824,100
  5. Step 5: Solve for x
    x = 1,985,872,824,100/1,044,452
  6. Step 6: Final answer
    x = 1,901,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.