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Finding the Third Proportional to 492,387,776 and 1,066,484,548

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Solution

The third proportional to 492,387,776 and 1,066,484,548 is: 2,309,946,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,387,776 : 1,066,484,548 = 1,066,484,548 : x
  2. Step 2: Convert to fraction form
    492,387,776/1,066,484,548 = 1,066,484,548/x
  3. Step 3: Cross multiply
    492,387,776x = 1,066,484,548 × 1,066,484,548
  4. Step 4: Simplify right side
    492,387,776x = 1,137,389,291,122,764,288
  5. Step 5: Solve for x
    x = 1,137,389,291,122,764,288/492,387,776
  6. Step 6: Final answer
    x = 2,309,946,238.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.