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Finding the Third Proportional to 411,415,324 and 878,627,052

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Solution

The third proportional to 411,415,324 and 878,627,052 is: 1,876,414,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415,324 : 878,627,052 = 878,627,052 : x
  2. Step 2: Convert to fraction form
    411,415,324/878,627,052 = 878,627,052/x
  3. Step 3: Cross multiply
    411,415,324x = 878,627,052 × 878,627,052
  4. Step 4: Simplify right side
    411,415,324x = 771,985,496,506,210,688
  5. Step 5: Solve for x
    x = 771,985,496,506,210,688/411,415,324
  6. Step 6: Final answer
    x = 1,876,414,055.27

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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.