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Finding the Third Proportional to 2,144,729 and 3,151,423

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Solution

The third proportional to 2,144,729 and 3,151,423 is: 4,630,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,729 : 3,151,423 = 3,151,423 : x
  2. Step 2: Convert to fraction form
    2,144,729/3,151,423 = 3,151,423/x
  3. Step 3: Cross multiply
    2,144,729x = 3,151,423 × 3,151,423
  4. Step 4: Simplify right side
    2,144,729x = 9,931,466,924,929
  5. Step 5: Solve for x
    x = 9,931,466,924,929/2,144,729
  6. Step 6: Final answer
    x = 4,630,639.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.