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Finding the Third Proportional to 478,097,640 and 703,474,986

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Solution

The third proportional to 478,097,640 and 703,474,986 is: 1,035,096,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,097,640 : 703,474,986 = 703,474,986 : x
  2. Step 2: Convert to fraction form
    478,097,640/703,474,986 = 703,474,986/x
  3. Step 3: Cross multiply
    478,097,640x = 703,474,986 × 703,474,986
  4. Step 4: Simplify right side
    478,097,640x = 494,877,055,927,700,224
  5. Step 5: Solve for x
    x = 494,877,055,927,700,224/478,097,640
  6. Step 6: Final answer
    x = 1,035,096,211.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.