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Finding the Third Proportional to 701,473,710 and 980,701,534

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Solution

The third proportional to 701,473,710 and 980,701,534 is: 1,371,078,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,710 : 980,701,534 = 980,701,534 : x
  2. Step 2: Convert to fraction form
    701,473,710/980,701,534 = 980,701,534/x
  3. Step 3: Cross multiply
    701,473,710x = 980,701,534 × 980,701,534
  4. Step 4: Simplify right side
    701,473,710x = 961,775,498,789,953,152
  5. Step 5: Solve for x
    x = 961,775,498,789,953,152/701,473,710
  6. Step 6: Final answer
    x = 1,371,078,466.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.