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Finding the Third Proportional to 492,387,768 and 1,066,484,532

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Solution

The third proportional to 492,387,768 and 1,066,484,532 is: 2,309,946,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,387,768 : 1,066,484,532 = 1,066,484,532 : x
  2. Step 2: Convert to fraction form
    492,387,768/1,066,484,532 = 1,066,484,532/x
  3. Step 3: Cross multiply
    492,387,768x = 1,066,484,532 × 1,066,484,532
  4. Step 4: Simplify right side
    492,387,768x = 1,137,389,256,995,259,008
  5. Step 5: Solve for x
    x = 1,137,389,256,995,259,008/492,387,768
  6. Step 6: Final answer
    x = 2,309,946,206.86

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