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Finding the Third Proportional to 605,688,478 and 1,314,748,468

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Solution

The third proportional to 605,688,478 and 1,314,748,468 is: 2,853,882,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688,478 : 1,314,748,468 = 1,314,748,468 : x
  2. Step 2: Convert to fraction form
    605,688,478/1,314,748,468 = 1,314,748,468/x
  3. Step 3: Cross multiply
    605,688,478x = 1,314,748,468 × 1,314,748,468
  4. Step 4: Simplify right side
    605,688,478x = 1,728,563,534,108,347,136
  5. Step 5: Solve for x
    x = 1,728,563,534,108,347,136/605,688,478
  6. Step 6: Final answer
    x = 2,853,882,147.17

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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.