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Finding the Third Proportional to 478,633,017 and 1,024,502,598

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Solution

The third proportional to 478,633,017 and 1,024,502,598 is: 2,192,923,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,633,017 : 1,024,502,598 = 1,024,502,598 : x
  2. Step 2: Convert to fraction form
    478,633,017/1,024,502,598 = 1,024,502,598/x
  3. Step 3: Cross multiply
    478,633,017x = 1,024,502,598 × 1,024,502,598
  4. Step 4: Simplify right side
    478,633,017x = 1,049,605,573,308,749,568
  5. Step 5: Solve for x
    x = 1,049,605,573,308,749,568/478,633,017
  6. Step 6: Final answer
    x = 2,192,923,463.34

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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.