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Finding the Third Proportional to 605,688,500 and 1,314,748,502

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Solution

The third proportional to 605,688,500 and 1,314,748,502 is: 2,853,882,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688,500 : 1,314,748,502 = 1,314,748,502 : x
  2. Step 2: Convert to fraction form
    605,688,500/1,314,748,502 = 1,314,748,502/x
  3. Step 3: Cross multiply
    605,688,500x = 1,314,748,502 × 1,314,748,502
  4. Step 4: Simplify right side
    605,688,500x = 1,728,563,623,511,244,032
  5. Step 5: Solve for x
    x = 1,728,563,623,511,244,032/605,688,500
  6. Step 6: Final answer
    x = 2,853,882,191.11

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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.