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Finding the Third Proportional to 1,209,301 and 1,829,583

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Solution

The third proportional to 1,209,301 and 1,829,583 is: 2,768,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,301 : 1,829,583 = 1,829,583 : x
  2. Step 2: Convert to fraction form
    1,209,301/1,829,583 = 1,829,583/x
  3. Step 3: Cross multiply
    1,209,301x = 1,829,583 × 1,829,583
  4. Step 4: Simplify right side
    1,209,301x = 3,347,373,953,889
  5. Step 5: Solve for x
    x = 3,347,373,953,889/1,209,301
  6. Step 6: Final answer
    x = 2,768,023.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.