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Finding the Third Proportional to 828,978,486 and 1,787,090,574

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Solution

The third proportional to 828,978,486 and 1,787,090,574 is: 3,852,564,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,978,486 : 1,787,090,574 = 1,787,090,574 : x
  2. Step 2: Convert to fraction form
    828,978,486/1,787,090,574 = 1,787,090,574/x
  3. Step 3: Cross multiply
    828,978,486x = 1,787,090,574 × 1,787,090,574
  4. Step 4: Simplify right side
    828,978,486x = 3,193,692,719,679,649,280
  5. Step 5: Solve for x
    x = 3,193,692,719,679,649,280/828,978,486
  6. Step 6: Final answer
    x = 3,852,564,057.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.