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Finding the Third Proportional to 411,415,696 and 878,627,840

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Solution

The third proportional to 411,415,696 and 878,627,840 is: 1,876,415,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415,696 : 878,627,840 = 878,627,840 : x
  2. Step 2: Convert to fraction form
    411,415,696/878,627,840 = 878,627,840/x
  3. Step 3: Cross multiply
    411,415,696x = 878,627,840 × 878,627,840
  4. Step 4: Simplify right side
    411,415,696x = 771,986,881,223,065,600
  5. Step 5: Solve for x
    x = 771,986,881,223,065,600/411,415,696
  6. Step 6: Final answer
    x = 1,876,415,724.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.