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Finding the Third Proportional to 478,660,322 and 1,048,122,306

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Solution

The third proportional to 478,660,322 and 1,048,122,306 is: 2,295,072,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,660,322 : 1,048,122,306 = 1,048,122,306 : x
  2. Step 2: Convert to fraction form
    478,660,322/1,048,122,306 = 1,048,122,306/x
  3. Step 3: Cross multiply
    478,660,322x = 1,048,122,306 × 1,048,122,306
  4. Step 4: Simplify right side
    478,660,322x = 1,098,560,368,334,757,632
  5. Step 5: Solve for x
    x = 1,098,560,368,334,757,632/478,660,322
  6. Step 6: Final answer
    x = 2,295,072,973.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.