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Finding the Third Proportional to 605,688,498 and 1,314,748,496.25

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Solution

The third proportional to 605,688,498 and 1,314,748,496.25 is: 2,853,882,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688,498 : 1,314,748,496.25 = 1,314,748,496.25 : x
  2. Step 2: Convert to fraction form
    605,688,498/1,314,748,496.25 = 1,314,748,496.25/x
  3. Step 3: Cross multiply
    605,688,498x = 1,314,748,496.25 × 1,314,748,496.25
  4. Step 4: Simplify right side
    605,688,498x = 1,728,563,608,391,636,224
  5. Step 5: Solve for x
    x = 1,728,563,608,391,636,224/605,688,498
  6. Step 6: Final answer
    x = 2,853,882,175.57

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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.