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Finding the Third Proportional to 411,070,908 and 559,903,746

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Solution

The third proportional to 411,070,908 and 559,903,746 is: 762,623,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070,908 : 559,903,746 = 559,903,746 : x
  2. Step 2: Convert to fraction form
    411,070,908/559,903,746 = 559,903,746/x
  3. Step 3: Cross multiply
    411,070,908x = 559,903,746 × 559,903,746
  4. Step 4: Simplify right side
    411,070,908x = 313,492,204,784,832,512
  5. Step 5: Solve for x
    x = 313,492,204,784,832,512/411,070,908
  6. Step 6: Final answer
    x = 762,623,184.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.