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Finding the Third Proportional to 427,412,796 and 677,338,602

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Solution

The third proportional to 427,412,796 and 677,338,602 is: 1,073,406,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,412,796 : 677,338,602 = 677,338,602 : x
  2. Step 2: Convert to fraction form
    427,412,796/677,338,602 = 677,338,602/x
  3. Step 3: Cross multiply
    427,412,796x = 677,338,602 × 677,338,602
  4. Step 4: Simplify right side
    427,412,796x = 458,787,581,759,314,432
  5. Step 5: Solve for x
    x = 458,787,581,759,314,432/427,412,796
  6. Step 6: Final answer
    x = 1,073,406,285.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.