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Finding the Third Proportional to 572,992,704 and 1,227,669,534

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Solution

The third proportional to 572,992,704 and 1,227,669,534 is: 2,630,351,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,992,704 : 1,227,669,534 = 1,227,669,534 : x
  2. Step 2: Convert to fraction form
    572,992,704/1,227,669,534 = 1,227,669,534/x
  3. Step 3: Cross multiply
    572,992,704x = 1,227,669,534 × 1,227,669,534
  4. Step 4: Simplify right side
    572,992,704x = 1,507,172,484,711,777,280
  5. Step 5: Solve for x
    x = 1,507,172,484,711,777,280/572,992,704
  6. Step 6: Final answer
    x = 2,630,351,964.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.